Twisted Morse Complexes, 9783031716157
Paperback
Unraveling manifolds: Twisted Morse theory reveals hidden homological landscapes.

Twisted Morse Complexes

morse homology and cohomology with local coefficients

$213.34

  • Paperback

    158 pages

  • Release Date

    2 November 2024

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Summary

Unraveling Twisted Morse Complexes: A Journey Through Topology

This book offers an in-depth exploration of twisted Morse homology and cohomology on closed, finite-dimensional smooth manifolds. Inside, you’ll discover:

  • A comprehensive proof of the Twisted Morse Homology Theorem, demonstrating the isomorphism between the homology of the Morse–Smale–Witten chain complex (with coefficients in a bundle of abelian groups G) and the singular homology of the manifold …

Book Details

ISBN-13:9783031716157
ISBN-10:3031716159
Series:Lecture Notes in Mathematics
Author:Augustin Banyaga, David Hurtubise, Peter Spaeth
Publisher:Springer International Publishing AG
Imprint:Springer International Publishing AG
Format:Paperback
Number of Pages:158
Edition:2024th
Release Date:2 November 2024
Weight:0g
Dimensions:235mm x 155mm
About The Author

Augustin Banyaga

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.

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