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Diffeomorphisms and Noncommutative Analytic Torsion

John Lott University of Michigan, Ann Arbor, Ann Arbor, MI
Available Formats:
Electronic ISBN: 978-1-4704-0264-8
Product Code: MEMO/141/673.E
List Price: $46.00 MAA Member Price:$41.40
AMS Member Price: $27.60 Click above image for expanded view Diffeomorphisms and Noncommutative Analytic Torsion John Lott University of Michigan, Ann Arbor, Ann Arbor, MI Available Formats:  Electronic ISBN: 978-1-4704-0264-8 Product Code: MEMO/141/673.E  List Price:$46.00 MAA Member Price: $41.40 AMS Member Price:$27.60
• Book Details

Memoirs of the American Mathematical Society
Volume: 1411999; 56 pp
MSC: Primary 58;

Abstract. We prove an index theorem concerning the pushforward of flat ${\mathfrak B}$-vector bundles, where ${\mathfrak B}$ is an appropriate algebra. We construct an associated analytic torsion form ${\mathcal T}$. If $Z$ is a smooth closed aspherical manifold, we show that ${\mathcal T}$ gives invariants of $\pi_*(\mathrm{Diff}(Z))$.

Graduate students and research mathematicians working in global analysis and analysis on manifolds.

• Chapters
• 1. Introduction
• 2. Noncommutative bundle theory
• 3. Groups and covering spaces
• 4. $\mathfrak {B}$-Hermitian metrics and characteristic classes
• 5. Noncommutative superconnections
• 6. Fiber bundles
• 7. Diffeomorphism groups
• Requests

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Volume: 1411999; 56 pp
MSC: Primary 58;

Abstract. We prove an index theorem concerning the pushforward of flat ${\mathfrak B}$-vector bundles, where ${\mathfrak B}$ is an appropriate algebra. We construct an associated analytic torsion form ${\mathcal T}$. If $Z$ is a smooth closed aspherical manifold, we show that ${\mathcal T}$ gives invariants of $\pi_*(\mathrm{Diff}(Z))$.

Graduate students and research mathematicians working in global analysis and analysis on manifolds.

• Chapters
• 1. Introduction
• 2. Noncommutative bundle theory
• 3. Groups and covering spaces
• 4. $\mathfrak {B}$-Hermitian metrics and characteristic classes
• 5. Noncommutative superconnections
• 6. Fiber bundles
• 7. Diffeomorphism groups
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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