Manifolds and Modular Forms is popular PDF and ePub book, written by Friedrich Hirzebruch in 2013-06-29, it is a fantastic choice for those who relish reading online the Technology & Engineering genre. Let's immerse ourselves in this engaging Technology & Engineering book by exploring the summary and details provided below. Remember, Manifolds and Modular Forms can be Read Online from any device for your convenience.
Manifolds and Modular Forms Book PDF Summary
This book provides a comprehensive introduction to the theory of elliptic genera due to Ochanine, Landweber, Stong, and others. The theory describes a new cobordism invariant for manifolds in terms of modular forms. The book evolved from notes of a course given at the University of Bonn. After providing some background material elliptic genera are constructed, including the classical genera signature and the index of the Dirac operator as special cases. Various properties of elliptic genera are discussed, especially their behaviour in fibre bundles and rigidity for group actions. For stably almost complex manifolds the theory is extended to elliptic genera of higher level. The text is in most parts self-contained. The results are illustrated by explicit examples and by comparison with well-known theorems. The relevant aspects of the theory of modular forms are derived in a seperate appendix, providing also a useful reference for mathematicians working in this field.
Detail Book of Manifolds and Modular Forms PDF
- Author : Friedrich Hirzebruch
- Release : 29 June 2013
- Publisher : Springer Science & Business Media
- ISBN : 9783663107262
- Genre : Technology & Engineering
- Total Page : 216 pages
- Language : English
- PDF File Size : 18,8 Mb
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