Diffeomorphisms and noncommutative analytic torsion / John Lott.

Format:

Book

Author/Creator:

Lott, John, 1959- author.

Series:

Memoirs of the American Mathematical Society ; no. 673.

Memoirs of the American Mathematical Society, 0065-9266 ; number 673

Language:

English

Subjects (All):

Diffeomorphisms.

Index theorems.

Noncommutative differential geometry.

Physical Description:

1 online resource (71 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1999]

Language Note:

English

Summary:

This book is intended for graduate students and research mathematicians working in global analysis and analysis on manifolds

Contents:

""Contents""; ""1. Introduction""; ""2. Noncommutative Bundle Theory""; ""2.1. Noncommutative Differential Forms""; ""2.2. Noncommutative Connections and Chern Character""; ""2.3. Chern�Simons Classes of Partially Flat Connections""; ""3. Groups and Covering Spaces""; ""3.1. Cyclic Cohomology of Group Algebras""; ""3.2. Noncommutative Geometry of Covering Spaces""; ""4. B�Hermitian Metrics and Characteristic Classes""; ""4.1. B�Hermitian Metrics""; ""4.2. B�Hermitian Metrics, Group Algebras and Assembly Maps""; ""5. Noncommutative Superconnections""

""5.1. Partially Flat Superconnections""""5.2. A Finite�Dimensional Index Theorem""; ""5.3. The Analytic Torsion Form""; ""6. Fiber Bundles""; ""6.1. B�Pseudodifferential Calculus""; ""6.2. Induced Superconnections""; ""6.3. Small Time Limits""; ""6.4. Index Theorems""; ""6.5. The Analytic Torsion Form II""; ""7. Diffeomorphism Groups""; ""7.1. Free Abelian Fundamental Groups""; ""7.2. General Fundamental Groups""; ""References""

Notes:

"September 1999, volume 141, number 673 (third of 4 numbers)."

Includes bibliographical references (pages 55-56).

Description based on print version record.

ISBN:

1-4704-0264-5