ストリングトポロジーと巡回ホモロジー理論 String Topology and Cyclic Homology (Advanced Courses in Mathematics CRM Barcelona) （2006.）

Hess, Kathryn/ Cohen, Ralph L./ Voronov, Alexander A.

BIRKHÄUSER（2006発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 176 p.
• 言語 ENG
• 商品コード 9783764321826

基本説明

The first part focuses on string topology and discusses the loop product from different points of view. The second part is devoted to the construction of
algebraic models for computing topological cyclic homology and starts with the study of free loop spaces.

Full Description

This book explores string topology, Hochschild and cyclic homology, assembling material from a wide scattering of scholarly sources in a single practical volume. The first part offers a thorough and elegant exposition of various approaches to string topology and the Chas-Sullivan loop product. The second gives a complete and clear construction of an algebraic model for computing topological cyclic homology.

Contents

Notes on String Topology.- Intersection theory in loop spaces.- The cacti operad.- Field theoretic properties of string topology.- A Morse theoretic viewpoint.- Brane topology.- An Algebraic Model for Mod 2 Topological Cyclic Homology.- Preliminaries.- Free loop spaces.- Homotopy orbit spaces.- A model for mod 2 topological cyclic homology.