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 noncommutative 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) Ktheory and cyclic theory via generalized Cherncharacters are discussed in detail. This includes an outline of a framework for bivariant Ktheory 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 ConnesMoscovici and of BresslerNestTsygan) is given and the concepts and ideas involved in the proof of these theorems are explained
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) Ktheory and cyclic theory via generalized Cherncharacters are discussed in detail. This includes an outline of a framework for bivariant Ktheory 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 ConnesMoscovici and of BresslerNestTsygan) is given and the concepts and ideas involved in the proof of these theorems are explained
Operator algebras and noncommutative geometry(
Book
)
in English and held by 11 WorldCat member libraries worldwide
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
3 editions published in 2000 in English and held by 4 WorldCat member libraries worldwide
RiemannRoch theorems via deformation quantisation II by P Bressler(
Book
)
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
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
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, noncommutative geometry and index theory, quantum groups, holomorphic algebraic geometry and moduli spaces, quantum cohomology, algebraic groups and invariant theory, and characteristic classes
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, noncommutative 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
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
RiemannRoch theorems via deformation quantization by P Bressler(
Book
)
in English and held by 1 WorldCat member library worldwide
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
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
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
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
1 edition published in 1993 in English and held by 0 WorldCat member libraries worldwide
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