Twisted Morse Complexes

Morse Homology and Cohomology with Local Coefficients

von

Banyaga, AugustinHurtubise, DavidSpaeth, Peter

BuchPaperback

Verkaufsrang698inMathematik

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Produktinformationen

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.

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Details

ISBN/GTIN978-3-031-71615-7

ProduktartBuch

EinbandPaperback

VerlagSpringer

Erscheinungsdatum09.12.2024

Auflage2024

ReiheLecture Notes in Mathematics

Reihen-Nr.2361

Seiten145 Seiten

SpracheEnglisch

IllustrationenX, 140 p.

WarengruppeNaturwissenschaft

KategorieMathematik

Weitere Details

Reihe

An Introduction to KMS Weights

Twisted Morse Complexes

Braids, Conformal Module, Entropy, and Gromov's Oka Principle

Principal Symbol Calculus on Contact Manifolds

Bayesian Nonparametric Statistics

Helix Structures in Quantum Cohomology of Fano Varieties

Functional Analytic Methods for Heat Green Operators

Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts

Normal 2-Coverings of the Finite Simple Groups and their Generalizations

Asymptotic Expansions and Summability

Categorical Donaldson-Thomas Theory for Local Surfaces

Upper Bounds for Grothendieck Constants, Quantum Correlation Matrices and CCP Functions

Geometric and Analytic Aspects of Functional Variational Principles

Modern Aspects of Dynamical Systems

Maximal Solvable Subgroups of Finite Classical Groups

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Über die Autorin/den Autor

Banyaga, AugustinHurtubise, DavidSpaeth, Peter

Augustin Banyaga is a Professor of Mathematics and a Distinguished Senior Scholar at Penn State University in the Eberly College of Science and a Fellow of the African Academy of Sciences. He has authored at least 70 peer reviewed papers and 3 books, including Lectures on Morse Homology published by Springer.David Hurtubise is a Professor of Mathematics at Penn State Altoona. He has authored at least 14 peer reviewed papers, 140 Mathematical Reviews, 45 Zentralblatt Reviews, and the book Lectures on Morse Homology published by Springer.Peter Spaeth is a Senior Research Scientist at NASA´s Langley Research Center. He has authored over 20 peer reviewed papers in mathematics, materials science, and nondestructive evaluation. In 2023 he was awarded the NASA Early Career Achievement Medal.