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vls/2603nrwcece.visuallibrary.netvdTwisted Morse complexesMorse homology and cohomology with local coefficientsBanyaga, Augustin1947-VerfasserautHurtubise, DavidVerfasserautSpäth, PeterVerfasserauttextTextbookszXA-CHCham, SwitzerlandSpringer[2024]© 20242024monographicengprintviii, 155 Seiten Illustrationen, Diagrammeohne Hilfsmittel zu benutzenBandThis 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.Augustin Banyaga, David Hurtubise, Peter Spaeth978303171615799375059784406441HT030893179Online-Ausgabe9783031716164Lecture notes in mathematics2361(DE-605)HT001253222rda24111920250414121124.02561645ger https://ce.visuallibrary.net//domainresource/static/graphics/connectors/viewerLogo.gif http://193.30.112.129:83/F/?func=find-c&ccl_term=ICS%3D2561645 https://ce.visuallibrary.net/id/1333828 https://ce.visuallibrary.net/i3f/v20/1333828/manifest https://ce.visuallibrary.net/proto_ftsearch/1333828