WorldCat Identities

Tsygan, Boris

Overview
Works: 12 works in 31 publications in 2 languages and 305 library holdings
Roles: Editor
Classifications: QA446, 516
Publication Timeline
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Most widely held works by Boris Tsygan
Cyclic homology in non-commutative geometry by Joachim J. R Cuntz( Book )

10 editions published in 2004 in English and German and held by 251 WorldCat member libraries worldwide

This volume contains contributions by three authors and treats aspects of noncommutative geometry that are related to cyclic homology. The authors give rather complete accounts of cyclic theory from different and complementary points of view. The connections between topological (bivariant) K-theory and cyclic theory via generalized Chern-characters are discussed in detail. This includes an outline of a framework for bivariant K-theory on a category of locally convex algebras. On the other hand, cyclic theory is the natural setting for a variety of general index theorems. A survey of such index theorems (including the abstract index theorems of Connes-Moscovici and of Bressler-Nest-Tsygan) is given and the concepts and ideas involved in the proof of these theorems are explained
Operator algebras and non-commutative geometry( Book )

in English and held by 11 WorldCat member libraries worldwide

Local formula for the index of a fourier integral operator by Eric Leichtnam( Book )

3 editions published in 2000 in English and held by 4 WorldCat member libraries worldwide

Riemann-Roch theorems via deformation quantisation II by P Bressler( Book )

1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide

Formal deformations of symplectic Lie algebroids (preliminary version) by R Nest( Book )

2 editions published in 1996 in English and held by 1 WorldCat member library worldwide

Advances in geometry( Book )

2 editions published in 1999 in English and held by 1 WorldCat member library worldwide

The articles present new results or discuss interesting perspectives on recent work that will be of interest to researchers and graduate students working in symplectic geometry and geometric quantization, deformation quantization, non-commutative geometry and index theory, quantum groups, holomorphic algebraic geometry and moduli spaces, quantum cohomology, algebraic groups and invariant theory, and characteristic classes
Formality for algebroid stacks( )

1 edition published in 2009 in English and held by 1 WorldCat member library worldwide

We extend the formality theorem of M. Kontsevich from deformations of the structure sheaf on a manifold to deformations of gerbes
Riemann-Roch theorems via deformation quantization by P Bressler( Book )

in English and held by 1 WorldCat member library worldwide

On the cohomology ring of an algebra by Ryszard Nest( Book )

1 edition published in 1998 in English and held by 1 WorldCat member library worldwide

On the cohomology ring of an algebra( )

1 edition published in 1998 in English and held by 1 WorldCat member library worldwide

Formal versus analytic index theorems by R Nest( Book )

1 edition published in 1993 in English and held by 0 WorldCat member libraries worldwide

Algebraic index theory for families by Ryszard Nest( Book )

1 edition published in 1993 in English and held by 0 WorldCat member libraries worldwide

 
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Audience Level
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  Kids General Special  
Audience level: 0.75 (from 0.71 for Advances i ... to 1.00 for Algebraic ...)

Languages
English (30)

German (1)

Covers
Operator algebras and non-commutative geometryAdvances in geometry