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Mapping Analytic Surgery to Homology, Higher Rho Numbers and Metrics of Positive Scalar Curvature
| Softcover ISBN: | 978-1-4704-7317-4 |
| Product Code: | MEMO/309/1562 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-8155-1 |
| Product Code: | MEMO/309/1562.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-7317-4 |
| eBook: ISBN: | 978-1-4704-8155-1 |
| Product Code: | MEMO/309/1562.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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Mapping Analytic Surgery to Homology, Higher Rho Numbers and Metrics of Positive Scalar Curvature
| Softcover ISBN: | 978-1-4704-7317-4 |
| Product Code: | MEMO/309/1562 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-8155-1 |
| Product Code: | MEMO/309/1562.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-7317-4 |
| eBook ISBN: | 978-1-4704-8155-1 |
| Product Code: | MEMO/309/1562.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: 309; 2025; 145 ppMSC: Primary 46; Secondary 19; 53
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Table of Contents
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Chapters
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1. Introduction
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2. The relation between the structure algebra $D^*(\widetilde {M})^\Gamma $ and $\mathrm {\Psi }^0_\Gamma (\widetilde {M})$
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3. Rho classes
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4. Non-commutative de Rham homology and Chern characters
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5. Pseudodifferential operators and smooth subalgebras
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6. Mapping analytic surgery to homology
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7. Higher rho numbers associated to elements in $HC^* (\mathbb {C}\Gamma ,\langle x \rangle )$
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8. Higher rho numbers from relative cohomology $H^*(M\to B\Gamma )$
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9. Delocalized higher Atiyah-Patodi-Singer indices
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10. The space of metrics of positive scalar curvature and higher rho-invariants
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11. Naturality for the action by the diffeomorphism group
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12. The role of real K-theory
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13. Geometric applications of delocalized cyclic cohomology
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14. Geometric applications of relative cohomology
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15. Geometric applications: A topological approach
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16. Concluding remarks
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 309; 2025; 145 pp
MSC: Primary 46; Secondary 19; 53
-
Chapters
-
1. Introduction
-
2. The relation between the structure algebra $D^*(\widetilde {M})^\Gamma $ and $\mathrm {\Psi }^0_\Gamma (\widetilde {M})$
-
3. Rho classes
-
4. Non-commutative de Rham homology and Chern characters
-
5. Pseudodifferential operators and smooth subalgebras
-
6. Mapping analytic surgery to homology
-
7. Higher rho numbers associated to elements in $HC^* (\mathbb {C}\Gamma ,\langle x \rangle )$
-
8. Higher rho numbers from relative cohomology $H^*(M\to B\Gamma )$
-
9. Delocalized higher Atiyah-Patodi-Singer indices
-
10. The space of metrics of positive scalar curvature and higher rho-invariants
-
11. Naturality for the action by the diffeomorphism group
-
12. The role of real K-theory
-
13. Geometric applications of delocalized cyclic cohomology
-
14. Geometric applications of relative cohomology
-
15. Geometric applications: A topological approach
-
16. Concluding remarks
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.