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Resolvent, Heat Kernel, and Torsion under Degeneration to Fibered Cusps
| Softcover ISBN: | 978-1-4704-4422-8 |
| Product Code: | MEMO/269/1314 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-6466-0 |
| Product Code: | MEMO/269/1314.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-4422-8 |
| eBook: ISBN: | 978-1-4704-6466-0 |
| Product Code: | MEMO/269/1314.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Resolvent, Heat Kernel, and Torsion under Degeneration to Fibered Cusps
| Softcover ISBN: | 978-1-4704-4422-8 |
| Product Code: | MEMO/269/1314 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-6466-0 |
| Product Code: | MEMO/269/1314.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-4422-8 |
| eBook ISBN: | 978-1-4704-6466-0 |
| Product Code: | MEMO/269/1314.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 269; 2021; 126 ppMSC: Primary 53; 32; 58
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Table of Contents
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Chapters
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1. Introduction
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2. Fibered cusp surgery metrics
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Resolvent under degeneration
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3. Pseudodifferential operator calculi
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4. Resolvent construction
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5. Projection onto the eigenspace of small eigenvalues
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Heat kernel under degeneration
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6. Surgery heat space
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7. Solving the heat equation
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Torsion under degeneration
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8. The $R$-torsion on manifolds with boundary
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9. The intersection $R$-torsion of Dar and $L^2$-cohomology
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10. Analytic torsion conventions
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11. Asymptotics of analytic torsion
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12. A Cheeger-Müller theorem for fibered cusp manifolds
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A. Model cases: Euclidean Laplacians and Dirac operators
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B. Geometric microlocal preliminaries
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C. Proof of composition formula
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 269; 2021; 126 pp
MSC: Primary 53; 32; 58
-
Chapters
-
1. Introduction
-
2. Fibered cusp surgery metrics
-
Resolvent under degeneration
-
3. Pseudodifferential operator calculi
-
4. Resolvent construction
-
5. Projection onto the eigenspace of small eigenvalues
-
Heat kernel under degeneration
-
6. Surgery heat space
-
7. Solving the heat equation
-
Torsion under degeneration
-
8. The $R$-torsion on manifolds with boundary
-
9. The intersection $R$-torsion of Dar and $L^2$-cohomology
-
10. Analytic torsion conventions
-
11. Asymptotics of analytic torsion
-
12. A Cheeger-Müller theorem for fibered cusp manifolds
-
A. Model cases: Euclidean Laplacians and Dirac operators
-
B. Geometric microlocal preliminaries
-
C. Proof of composition formula
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.