Del 2361 - Lecture Notes in Mathematics
Twisted Morse Complexes
Morse Homology and Cohomology with Local Coefficients
Häftad, Engelska, 2024
899 kr
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Fri frakt för medlemmar vid köp för minst 249 kr.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.
Produktinformation
- Utgivningsdatum2024-11-02
- Mått155 x 235 x undefined mm
- FormatHäftad
- SpråkEngelska
- SerieLecture Notes in Mathematics
- Antal sidor158
- FörlagSpringer International Publishing AG
- ISBN9783031716157