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BRST Symmetry and de Rham Cohomology

) symmetry, as well as de Rham cohomology. It offers a critical overview of the research in this area and unifies the existing literature, employing;

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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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Quantization of Gauge Systems

from homological algebra. Reducible gauge systems are discussed, and the relationship between BRST cohomology and gauge invariance is carefully;

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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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Twenty-Four Hours of Local Cohomology

, connections to sheaf cohomology and to de Rham cohomology, Grobner bases in the commutative setting as well as for $D$-modules, the Frobenius morphism;

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Elements of Homology Theory

chapters are concerned with singular homology and cohomology, and Cech and de Rham cohomology. The book ends with various applications of homology;

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Supersymmetry and Equivariant de Rham Theory

This book discusses the equivariant cohomology theory of differentiable manifolds. Although this subject has gained great popularity since;

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Equivariant Poincare Duality on G-Manifolds

of arbitrary characteristic, and hence change (equivariant) de Rham cohomology to the usual singular (equivariant) cohomology . The book will;

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De Rham Cohomology of Differential Modules on Algebraic Varieties

...A nice feature of the book [is] that at various points the authors provide examples, or rather co;...

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De Rham Cohomology of Differential Modules on Algebraic Varieties

...A nice feature of the book [is] that at various points the authors provide examples, or rather co;...

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London Mathematical Society Lecture Note Series

reader is introduced to De Rham cohomology, and explicit and detailed calculations are present as examples. Topics covered include Mayer-Vietoris;

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Foundations of Differentiable Manifolds and Lie Groups

integration on manifolds. The book also provides a proof of the de Rham theorem via sheaf cohomology theory and develops the local theory of elliptic;

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Introductory Lectures on Equivariant Cohomology: (Ams-204)

of the equivariant de Rham theorem, demonstrating that equivariant cohomology can be computed using equivariant differential forms. Examples and;

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Introductory Lectures on Equivariant Cohomology: (Ams-204)

of the equivariant de Rham theorem, demonstrating that equivariant cohomology can be computed using equivariant differential forms. Examples and;

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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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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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Lectures on Logarithmic Algebraic Geometry

field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti;

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Vector Analysis

of the classical vector analysis in Euclidean space, as well as on manifolds, and goes on to introduce de Rham Cohomology, Hodge theory;

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Orbifolds and Stringy Topology

cohomology and bundle theory are developed, a careful study of orbifold morphisms is provided, and the topic of orbifold K-theory is covered. The;

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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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Topics in Differential Geometry

forms and de Rham cohomology, bundles and connections, Riemann manifolds, isometric actions, and symplectic and Poisson geometry. The layout;

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Manifolds Tensorsnd Forms

covers the basics of multilinear algebra, differentiation and integration on manifolds, Lie groups and Lie algebras, homotopy and de Rham;

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Derived Functors And Sheaf Cohomology

sheaf cohomology and spectral sequences. It keeps the treatment as simple as possible, aiming at the same time to provide a number of examples;

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Basic Algebraic Topology

, discussing Poincare duality and the De Rham theorem. A brief introduction to cohomology of sheaves and Cech cohomology follows. The core of the text;

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Differential Forms

manifold and its de Rham cohomology groups.;

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Differential Forms

manifold and its de Rham cohomology groups.;

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Topology, Geometry and Gauge Fields

study the classical field theories of physics (de Rham cohomology, Chern classes, Semi-Riemannian manifolds, Cech cohomology, spinors etc;

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