cohomology

A Gentle Course in Local Class Field Theory Local Number Fields, Brauer Groups, Galois Cohomology【電子書籍】 Pierre Guillot【中古】Local Cohomology and Localization (Pitman Research Notes in Mathematics Series)洋書 Paperback, Equivariant Cohomology and Localization of Path Integrals (Lecture Notes in Physics Monographs) (Lecture Notes in Physics Monographs (63))Etale Cohomology Theory (Revised Edition)【電子書籍】 Lei FuBRST Symmetry and de Rham Cohomology【電子書籍】 Soon-Tae Hong【中古】【未使用 未開封品】Equivariant Cohomology and Localization of Path Integrals (Lecture Notes in Physics Monographs, 63)Equivariant Cohomology of Configuration Spaces Mod 2 The State of the Art【電子書籍】 Pavle V. M. BlagojeviGalois Cohomology and Class Field Theory【電子書籍】 David HarariHomology, Cohomology, and Sheaf Cohomology for Algebraic Topology, Algebraic Geometry, and Differential Geometry【電子書籍】 Jean GallierThe Character Map in Non-abelian Cohomology Twisted, Differential, and Generalized【電子書籍】 Domenico FiorenzaMod Two Homology and Cohomology【電子書籍】 Jean-Claude HausmannDeterminants, Gr bner Bases and Cohomology【電子書籍】 Winfried BrunsLocal Cohomology An Algebraic Introduction with Geometric Applications【電子書籍】 M. P. Brodmann(出版社)Springer Verlag Cohomology of Groups 1冊 978-0-387-90688-1The Cohomology of Commutative Semigroups An Overview【電子書籍】 Pierre Antoine GrilletQuandles and Topological Pairs Symmetry, Knots, and Cohomology【電子書籍】 Takefumi NosakaFrom Quantum Cohomology to Integrable Systems【電子書籍】 Martin A. GuestDerived Functors And Sheaf Cohomology【電子書籍】 Ugo BruzzoGroup Cohomology and Algebraic Cycles【電子書籍】 Burt TotaroHamiltonian Group Actions and Equivariant Cohomology【電子書籍】 Shubham Dwivedi
 

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  • <p>This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. It opens with a discussion of several fundamental topics in algebra, such as profinite groups, p-adic fields, semisimple algebras and their modules, and homological algebra with the example of group cohomology. The book culminates with the description of the abelian extensions of local number fields, as well as the celebrated Kronecker?Weber theory, in both the local and global cases. The material will find use across disciplines, including number theory, representation theory, algebraic geometry, and algebraic topology. Written for beginning graduate students and advanced undergraduates, this book can be used in the classroom or for independent study.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。
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  • ◇◆主にゆうメールによるポスト投函、サイズにより宅配便になります。◆梱包:完全密封のビニール包装または宅配専用パックにてお届けいたします。◆帯、封入物、及び各種コード等の特典は無い場合もございます◆◇【77676】全商品、送料無料!
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  • *** We ship internationally, so do not use a package forwarding service. We cannot ship to a package forwarding company address because of the Japanese customs regulation. If it is shipped and customs office does not let the package go, we do not make a refund. 【注意事項】 *** 特に注意してください。 *** ・個人ではない法人・団体名義での購入はできません。この場合税関で滅却されてもお客様負担になりますので御了承願います。 ・お名前にカタカナが入っている場合法人である可能性が高いため当店システムから自動保留します。カタカナで記載が必要な場合はカタカナ変わりローマ字で記載してください。 ・お名前またはご住所が法人・団体名義(XX株式会社等)、商店名などを含めている場合、または電話番号が個人のものではない場合、税関から法人名義でみなされますのでご注意ください。 ・転送サービス会社への発送もできません。この場合税関で滅却されてもお客様負担になりますので御了承願います。 *** ・注文後品切れや価格変動でキャンセルされる場合がございますので予めご了承願います。 ・当店でご購入された商品は、原則として、「個...
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  • <p>Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, base change theorems, duality, and ?-adic cohomology. The prerequisites for reading this book are basic algebraic geometry and advanced commutative algebra.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。
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  • <p>This book provides an advanced introduction to extended theories of quantum field theory and algebraic topology, including Hamiltonian quantization associated with some geometrical constraints, symplectic embedding and Hamilton-Jacobi quantization and Becci-Rouet-Stora-Tyutin (BRST) symmetry, as well as de Rham cohomology. It offers a critical overview of the research in this area and unifies the existing literature, employing a consistent notation.</p> <p>Although the results presented apply in principle to all alternative quantization schemes, special emphasis is placed on the BRST quantization for constrained physical systems and its corresponding de Rham cohomology group structure. These were studied by theoretical physicists from the early 1960s and appeared in attempts to quantize rigorously some physical theories such as solitons and other models subject to geometrical constraints. In particular, phenomenological soliton theories such as Skyrmion and chiral bag model...
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  • 【中古】【未使用・未開封品】Equivariant Cohomology and Localization of Path Integrals (Lecture Notes in Physics Monographs, 63)【メーカー名】【メーカー型番】【ブランド名】Springer Geometry & Topology, Mathematical Analysis, Mathematical Physics, Nuclear Physics, Algebraic Geometry, Topology, Mathematical Analysis, Mathematical Physics, Nuclear Physics, Localization, Amazon Student ポイント還元(洋書), Search Inside The Book, Amazonアプリキャンペーン対象商品(洋書), Springer, 洋書(アダルト除く) Szabo, Richard J.: Author【商品説明】Equivariant Cohomology and Localization of Path Integrals (Lecture Notes in Physics Monographs, 63)【注意】こちらは輸入品となります。当店では初期不良に限り、商品到着から7日間は返品を 受付けております。こちらは当店海外ショップで一般の方から買取した未使用・未開封品です。買取した為、中古扱いとしております。他モールとの併売品の為、完売の際はご連絡致しますのでご了承ください。ご注文からお届けまで1、ご注文⇒ご注文は24時間受け付けております。2、注文確認⇒ご注文後、当...
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  • <p>This book gives a brief treatment of the equivariant cohomology of the classical configuration space F(?^d,n) from its beginnings to recent developments. This subject has been studied intensively, starting with the classical papers of Artin (1925/1947) on the theory of braids, and progressing through the work of Fox and Neuwirth (1962), Fadell and Neuwirth (1962), and Arnol'd (1969). The focus of this book is on the mod 2 equivariant cohomology algebras of F(?^d,n), whose additive structure was described by Cohen (1976) and whose algebra structure was studied in an influential paper by Hung (1990). A detailed new proof of Hung's main theorem is given, however it is shown that some of the arguments given by him on the way to his result are incorrect, as are some of the intermediate results in his paper.</p> <p>This invalidates a paper by three of the authors, Blagojevi?, L?ck and Ziegler (2016), who used a claimed intermediate result in order to derive lower bounds for the e...
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  • <p>This graduate textbook offers an introduction to modern methods in number theory. It gives a complete account of the main results of class field theory as well as the Poitou-Tate duality theorems, considered crowning achievements of modern number theory.</p> <p>Assuming a first graduate course in algebra and number theory, the book begins with an introduction to group and Galois cohomology. Local fields and local class field theory, including Lubin-Tate formal group laws, are covered next, followed by global class field theory and the description of abelian extensions of global fields. The final part of the book gives an accessible yet complete exposition of the Poitou-Tate duality theorems. Two appendices cover the necessary background in homological algebra and the analytic theory of Dirichlet <em>L</em>-series, including the ?ebotarev density theorem.</p> <p>Based on several advanced courses given by the author, this textbook has been written for graduate student...
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  • <p>For more than thirty years the senior author has been trying to learn algebraic geometry. In the process he discovered that many of the classic textbooks in algebraic geometry require substantial knowledge of cohomology, homological algebra, and sheaf theory. In an attempt to demystify these abstract concepts and facilitate understanding for a new generation of mathematicians, he along with co-author wrote this book for an audience who is familiar with basic concepts of linear and abstract algebra, but who never has had any exposure to the algebraic geometry or homological algebra. As such this book consists of two parts. The first part gives a crash-course on the homological and cohomological aspects of algebraic topology, with a bias in favor of cohomology. The second part is devoted to presheaves, sheaves, Cech cohomology, derived functors, sheaf cohomology, and spectral sequences. All important concepts are intuitively motivated and the associated proofs of the quintessenti...
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  • <p>This book presents a novel development of fundamental and fascinating aspects of algebraic topology and mathematical physics: 'extra-ordinary' and further generalized cohomology theories enhanced to 'twisted' and differential-geometric form, with focus on, firstly, their rational approximation by generalized Chern character maps, and then, the resulting charge quantization laws in higher n-form gauge field theories appearing in string theory and the classification of topological quantum materials.</p> <p>Although crucial for understanding famously elusive effects in strongly interacting physics, the relevant higher non-abelian cohomology theory ('higher gerbes') has had an esoteric reputation and remains underdeveloped.</p> <p>Devoted to this end, this book's theme is that various generalized cohomology theories are best viewed through their classifying spaces (or moduli stacks) ー not necessarily infinite-loop spaces ー from which perspective the character map is reall...
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  • <p>Cohomology and homology modulo 2 helps the reader grasp more readily the basics of a major tool in algebraic topology. Compared to a more general approach to (co)homology this refreshing approach has many pedagogical advantages:</p> <ol> <li>It leads more quickly to the essentials of the subject,</li> <li>An absence of signs and orientation considerations simplifies the theory,</li> <li>Computations and advanced applications can be presented at an earlier stage,</li> <li>Simple geometrical interpretations of (co)chains.</li> </ol> <p>Mod 2 (co)homology was developed in the first quarter of the twentieth century as an alternative to integral homology, before both became particular cases of (co)homology with arbitrary coefficients.</p> <p>The first chapters of this book may serve as a basis for a graduate-level introductory course to (co)homology. Simplicial and singular mod 2 (co)homology are introduced, with their products and Steenrod squares, as we...
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  • <p>This book offers an up-to-date, comprehensive account of determinantal rings and varieties, presenting a multitude of methods used in their study, with tools from combinatorics, algebra, representation theory and geometry.</p> <p>After a concise introduction to Gr?bner and Sagbi bases, determinantal ideals are studied via the standard monomial theory and the straightening law. This opens the door for representation theoretic methods, such as the Robinson?Schensted?Knuth correspondence, which provide a description of the Gr?bner bases of determinantal ideals, yielding homological and enumerative theorems on determinantal rings. Sagbi bases then lead to the introduction of toric methods. In positive characteristic, the Frobenius functor is used to study properties of singularities, such as F-regularity and F-rationality. Castelnuovo?Mumford regularity, an important complexity measure in commutative algebra and algebraic geometry, is introduced in the general setting of a Noet...
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  • <p>This second edition of a successful graduate text provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, including in multi-graded situations, and provides many illustrations of the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties. Topics covered include Serre's Affineness Criterion, the Lichtenbaum?Hartshorne Vanishing Theorem, Grothendieck's Finiteness Theorem and Faltings' Annihilator Theorem, local duality and canonical modules, the Fulton?Hansen Connectedness Theorem for projective varieties, and connections between local cohomology and both reductions of ideals and sheaf cohomology. The book is designed for graduate students who have some experience of basic commutative algebra and homological algebra and also experts in commutative algebra and algebraic geometry. Over 300 exercises are interspersed among the text; these range in difficulty from routine to challenging, and hints are...
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  • (出版社)Springer Verlag Cohomology of Groups 1冊●著者:Brown, Kenneth S.●シリーズ名:Graduate Texts in Mathematics●Vol.87●頁数他:X, 306 S.●装丁:Hard●版次:1st ed. 1982. Corr. 2nd printing 1994●出版社:Springer Verlag●発行日:1994/11/18
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  • <p>This book provides an organized exposition of the current state of the theory of commutative semigroup cohomology, a theory which was originated by the author and has matured in the past few years.</p> <p>The work contains a fundamental scientific study of questions in the theory. The various approaches to commutative semigroup cohomology are compared. The problems arising from definitions in higher dimensions are addressed. Computational methods are reviewed. The main application is the computation of extensions of commutative semigroups and their classification.</p> <p>Previously the components of the theory were scattered among a number of research articles. This work combines all parts conveniently in one volume. It will be a valuable resource for future students of and researchers in commutative semigroup cohomology and related areas.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら ...
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  • <p>This book surveys quandle theory, starting from basic motivations and going on to introduce recent developments of quandles with topological applications and related topics. The book is written from topological aspects, but it illustrates how esteemed quandle theory is in mathematics, and it constitutes a crash course for studying quandles.</p> <p>More precisely, this work emphasizes the fresh perspective that quandle theory can be useful for the study of low-dimensional topology (e.g., knot theory) and relative objects with symmetry. The direction of research is summarized as “We shall thoroughly (re)interpret the previous studies of relative symmetry in terms of the quandle”. The perspectives contained herein can be summarized by the following topics. The first is on relative objects <em>G/H</em>, where <em>G</em> and <em>H</em> are groups, e.g., polyhedrons, reflection, and symmetric spaces. Next, central extensions of groups are discussed, e.g., spin structu...
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  • <p>Quantum cohomology has its origins in symplectic geometry and algebraic geometry, but is deeply related to differential equations and integrable systems. This text explains what is behind the extraordinary success of quantum cohomology, leading to its connections with many existing areas of mathematics as well as its appearance in new areas such as mirror symmetry. Certain kinds of differential equations (or D-modules) provide the key links between quantum cohomology and traditional mathematics; these links are the main focus of the book, and quantum cohomology and other integrable PDEs such as the KdV equation and the harmonic map equation are discussed within this unified framework. Aimed at graduate students in mathematics who want to learn about quantum cohomology in a broad context, and theoretical physicists who are interested in the mathematical setting, the text assumes basic familiarity with differential equations and cohomology.</p>画面が切り替わりますので、しばらく...
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  • <p>The aim of the book is to present a precise and comprehensive introduction to the basic theory of derived functors, with an emphasis on sheaf cohomology and spectral sequences. It keeps the treatment as simple as possible, aiming at the same time to provide a number of examples, mainly from sheaf theory, and also from algebra.The first part of the book provides the foundational material: Chapter 1 deals with category theory and homological algebra. Chapter 2 is devoted to the development of the theory of derived functors, based on the notion of injective object. In particular, the universal properties of derived functors are stressed, with a view to make the proofs in the following chapters as simple and natural as possible. Chapter 3 provides a rather thorough introduction to sheaves, in a general topological setting. Chapter 4 introduces sheaf cohomology as a derived functor, and, after also defining ?ech cohomology, develops a careful comparison between the two cohomologies ...
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  • <p>Group cohomology reveals a deep relationship between algebra and topology, and its recent applications have provided important insights into the Hodge conjecture and algebraic geometry more broadly. This book presents a coherent suite of computational tools for the study of group cohomology and algebraic cycles. Early chapters synthesize background material from topology, algebraic geometry, and commutative algebra so readers do not have to form connections between the literatures on their own. Later chapters demonstrate Peter Symonds's influential proof of David Benson's regularity conjecture, offering several new variants and improvements. Complete with concrete examples and computations throughout, and a list of open problems for further study, this book will be valuable to graduate students and researchers in algebraic geometry and related fields.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こち...
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  • <p>This monograph could be used for a graduate course on symplectic geometry as well as for independent study.</p> <p>The monograph starts with an introduction of symplectic vector spaces, followed by symplectic manifolds and then Hamiltonian group actions and the Darboux theorem. After discussing moment maps and orbits of the coadjoint action, symplectic quotients are studied. The convexity theorem and toric manifolds come next and we give a comprehensive treatment of Equivariant cohomology. The monograph also contains detailed treatment of the Duistermaat-Heckman Theorem, geometric quantization, and flat connections on 2-manifolds. Finally, there is an appendix which provides background material on Lie groups. A course on differential topology is an essential prerequisite for this course. Some of the later material will be more accessible to readers who have had a basic course on algebraic topology. For some of the later chapters, it would be helpful to have some background ...
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