Monopole Maps and L² -cohomology
The theme of this book is to establish a link between gauge theory and L²-cohomology theory. Although both theories focus on differential topology, they have been developed rather independently. One of the main reasons lies in the differing characteristics of these theories. This book introduces an...
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| Main Authors: | , |
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| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | inglés |
| Publicado: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2025.
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| Edición: | 1st ed. 2025. |
| Series: | Springer Monographs in Mathematics,
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| Subjects: | |
| Acceso en liña: | https://doi.org/10.1007/978-981-96-8472-4 |
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Table of Contents:
- Chapter 1 Introduction
- Chapter 2 A glimpse of progress of differential topology
- Chapter 3 Spin geometry
- Chapter 4 Seiberg–Witten theory
- Chapter 5 Bauer–Furuta theory
- Chapter 6 𝑳^𝒑 cohomology
- Chapter 7 𝑳^2-Betti number and von Neumann trace
- Chapter 8 Aspherical 10/8 -inequality and Singer’s conjecture
- Solutions
- References
- Index.