Boris Tsygan – författare
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4 produkter
4 produkter
- Nyhet
Häftad, Engelska, 2026
1 553 kr
Skickas inom 5-8 vardagar
This volume contains the proceedings of the Homotopical Methods in Geometry and Physics Conference in honor of the 60th birthday of Ezra Getzler held at Northwestern University in Evanston, Illinois, on March 21-25, 2022. It includes papers on geometry and topology of moduli spaces and configuration spaces, on theory of operads, and on noncommutative geometry, as well as on various connections between these topics and on their role in mathematical physics. These topics have been extensively studied during the last forty years. One prominent feature of the subject is that various invariants of spaces, noncommutative algebras, etc. carry classical algebraic structures but only up to homotopy. Operations that are part of these structures form topological spaces (from polyhedra to configuration or moduli spaces) whose homotopy theory is of central importance. The same spaces can be viewed as configuration spaces in mathematical physics.
Del 269 - Springer Proceedings in Mathematics & Statistics
Algebraic and Analytic Microlocal Analysis
AAMA, Evanston, Illinois, USA, 2012 and 2013
Inbunden, Engelska, 2018
2 453 kr
Skickas inom 10-15 vardagar
This book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University.
Del 121 - Encyclopaedia of Mathematical Sciences
Cyclic Homology in Non-Commutative Geometry
Inbunden, Engelska, 2003
1 070 kr
Skickas inom 10-15 vardagar
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.
Del 121 - Encyclopaedia of Mathematical Sciences
Cyclic Homology in Non-Commutative Geometry
Häftad, Engelska, 2011
1 070 kr
Skickas inom 10-15 vardagar
Cyclic homology was introduced in the early eighties independently by Connes and Tsygan. They came from different directions. Connes wanted to associate homological invariants to K-homology classes and to describe the index pair ing with K-theory in that way, while Tsygan was motivated by algebraic K-theory and Lie algebra cohomology. At the same time Karoubi had done work on characteristic classes that led him to study related structures, without however arriving at cyclic homology properly speaking. Many of the principal properties of cyclic homology were already developed in the fundamental article of Connes and in the long paper by Feigin-Tsygan. In the sequel, cyclic homology was recognized quickly by many specialists as a new intriguing structure in homological algebra, with unusual features. In a first phase it was tried to treat this structure as well as possible within the traditional framework of homological algebra. The cyclic homology groups were computed in many examples and new important properties such as prod uct structures, excision for H-unital ideals, or connections with cyclic objects and simplicial topology, were established. An excellent account of the state of the theory after that phase is given in the book of Loday.