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Geometry and Cohomology in Group Theory

This volume reflects the fruitful connections between group theory and topology. It contains articles on cohomology, representation theory;

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Etale Cohomology Theory (Revised Edition)

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;

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Invariant Forms on Grassmann Manifolds. (AM-89), Volume 89

unitary group, and each cohomology class is determined by a family of analytic sets.;

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Poisson Geometry, Deformation Quantisation and Group Representations

Poisson geometry lies at the cusp of noncommutative algebra and differential geometry, with natural and important links to classical;

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Group Cohomology & Algebraic Cycles

of group cohomology and algebraic cycles. Early chapters synthesize background material from topology, algebraic geometry, and commutative algebra;

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Twenty-Four Hours of Local Cohomology

and characteristic $p$ methods, finiteness properties of local cohomology modules, semigroup rings and polyhedral geometry, and hypergeometric;

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Topology and Geometry

, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: An interesting and original;

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Étale Cohomology

algebraic fundamental group. The next two chapters concern the basic theory of etale sheaves and elementary etale cohomology, and are followed by an;

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Manifolds, Sheaves, and Cohomology

difference between local and global questions. Cohomology theory of sheaves is introduced and its usage is illustrated by many examples.;

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Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31

algebraic, while the other uses the methods of symplectic geometry and Morse theory, and involves extending classical Morse theory to certain;

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Northern California Symplectic Geometry Seminar

and topology, Poisson geometry, quantization theory, and applications. This volume includes papers by several of the distinguished seminar;

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Etale Cohomology (PMS-33), Volume 33

algebraic fundamental group. The next two chapters concern the basic theory of etale sheaves and elementary etale cohomology, and are followed by an;

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Introductory Lectures on Equivariant Cohomology: (Ams-204)

has been introduced into K-theory and algebraic geometry, but it is in algebraic topology that the concepts are the most transparent and the;

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Introductory Lectures on Equivariant Cohomology: (Ams-204)

has been introduced into K-theory and algebraic geometry, but it is in algebraic topology that the concepts are the most transparent and the;

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Frobenius Manifolds, Quantum Cohomology and Moduli Spaces

of the book, the author describes the construction of quantum cohomology and reviews the algebraic geometry mechanisms involved in this;

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From Calculus to Cohomology

De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory;

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Enumerative Geometry and String Theory

enumerative geometry is made with the introduction of topological quantum field theory and quantum cohomology.;

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Local Cohomology

theory, including in multi-graded situations, and provides many illustrations of the theory in commutative algebra and in the geometry of quasi;

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Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67

In this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes;

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Mixed Motives

This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit;

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Arithmetic Of Elliptic Curves

. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry;

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Rigid Cohomology

of interest to researchers working in arithmetic geometry, p-adic cohomology theory, and related cryptographic areas.;

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Lectures on Logarithmic Algebraic Geometry

analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the;

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Hilbert Schemes of Points and Infinite Dimensional Lie Algebras

^{[n]}$ and related questions. The book is of interest to graduate students and researchers in algebraic geometry, representation theory;

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Algebraic Geometry for Associative Algebras

This work focuses on the association of methods from topology, category and sheaf theory, algebraic geometry, noncommutative and;

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Hamiltonian Group Actions and Equivariant Cohomology

theory and complex geometry.;

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The Arithmetic of Elliptic Curves

geometry of elliptic curves, the formal group of an elliptic curve, elliptic curves over finite fields, the complex numbers, local fields, and;

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