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Twisted Morse Complexes
- Morse Homology and Cohomology with Local Coefficients
Engelsk
Bogcover for Twisted Morse Complexes af David Hurtubise, Augustin Banyaga, Peter Spaeth, 9783031716157
Specifikationer
Sprog:
Engelsk
Sider:
158
ISBN-13:
9783031716157
Indbinding:
Paperback
ISBN-10:
3031716159
Udg. Dato:
2 nov 2024
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
2 nov 2024

Twisted Morse Complexes

- Morse Homology and Cohomology with Local Coefficients
Engelsk
Paperback 2024
Format:

Bog beskrivelse

This book gives a detailed presentation of twisted Morse homology and cohomology on closed finite-dimensional smooth manifolds. It contains a complete proof of the Twisted Morse Homology Theorem, which says that on a closed finite-dimensional smooth manifold the homology of the Morse–Smale–Witten chain complex with coefficients in a bundle of abelian groups G is isomorphic to the singular homology of the manifold with coefficients in G. It also includes proofs of twisted Morse-theoretic versions of well-known theorems such as Eilenberg''s Theorem, the Poincaré Lemma, and the de Rham Theorem. The effectiveness of twisted Morse complexes is demonstrated by computing the Lichnerowicz cohomology of surfaces, giving obstructions to spaces being associative H-spaces, and computing Novikov numbers.  Suitable for a graduate level course, the book may also be used as a reference for graduate students and working mathematicians or physicists.

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Specifikationer
Sprog:
Engelsk
Sider:
158
ISBN-13:
9783031716157
Indbinding:
Paperback
ISBN-10:
3031716159
Udg. Dato:
2 nov 2024
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
2 nov 2024
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