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Index Theory, Eta Forms, and Deligne Cohomology

develops a precise theory of boundary reductions. The author introduces the notion of a taming of a Dirac operator as an invertible perturbation by;

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Differential Forms on Singular Varieties

Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified uses complexes of differential forms to give a complete;

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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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Frobenius Manifolds, Quantum Cohomology and Moduli Spaces

subject first originated in theoretical physics (quantum string theory) and has continued to develop extensively over the last decade. The;

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Hodge Theory And Complex Algebraic Geome

complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical;

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Many Variations of Mahler Measures

number theory, analysis, arithmetic geometry, special functions and random walks. This friendly and concise introduction to the Mahler measure;

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Hodge Theory & Complex Algebraic Geom 2

complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical;

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

originated with questions in value distribution theory. Here analytic sets and differential forms rather than the corresponding homology and;

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Topos Theory

. Additional topics include natural number objects, theorems of Deligne and Barr, cohomology, and set theory. Each chapter concludes with a series;

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Introduction To Differential Manifolds, An

of real cohomology groups using differential forms (de Rham theory), and applications such as the Poincare-Hopf theorem relating the Euler number;

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Differential Forms in Algebraic Topology

of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral;

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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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Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity-Topoi

appropriate for these settings. This universal framework yields new insights into the general theory of Deligne-Mumford stacks and orbifolds;

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Modular Forms And Galois Cohomology

This book provides a comprehensive account of a key (and perhaps the most important) theory upon which the Taylor-Wiles proof of Fermat's;

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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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Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups

The book by Borel and Wallach is a classic treatment of the use of cohomology in representation theory, particularly in the setting;

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Cohomology and Differential Forms

of cohomological theory constitutes the central part of the book. Topics include categories and functors, the ech cohomology with coefficients in sheaves;

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Hilbert Modular Forms

branch of number theory has been given more and more attention and thus the need for a comprehensive presentation of these results, previously;

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Eisenstein Cohomology for GLN and the Special Values of Rankin-Selberg L-Functions

, automorphic forms, representation theory, and the cohomology of arithmetic groups.;

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Eisenstein Cohomology for GLN and the Special Va (AMS203)

, automorphic forms, representation theory, and the cohomology of arithmetic groups.;

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Etale Cohomology and the Weil Conjecture

short a manner as possible. We intended especially to provide a complete introduction to etale and l-adic cohomology theory including the;

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Representations of Reductive Groups

theory and its generalisations, quantum groups, subgroup structure of algebraic groups, intersection cohomology, and Lusztig's conjectured;

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Lie Groups, Lie Algebras, Cohomology and some Applications in Physics

Now in paperback, this book provides a self-contained introduction to the cohomology theory of Lie groups and algebras and to some of its;

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Rigid Cohomology over Laurent Series Fields

starting point for graduate students looking to explore aspects of the classical theory of rigid cohomology and with an eye towards future research;

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Differential Forms

calculus into the theory of differential forms. Throughout, the authors emphasize connections between differential forms and topology while making;

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Differential Forms

calculus into the theory of differential forms. Throughout, the authors emphasize connections between differential forms and topology while making;

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