Perturbed Gradient Flow Trees and A∞-algebra Structures in Morse Cohomology
Author:   Stephan Mescher
Publisher:   Springer Nature Switzerland AG
Edition:   Softcover reprint of the original 1st ed. 2018
Volume:   6
ISBN:  

9783030095260


Pages:   171
Publication Date:   19 December 2018
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Perturbed Gradient Flow Trees and A∞-algebra Structures in Morse Cohomology


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Author:   Stephan Mescher
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   Softcover reprint of the original 1st ed. 2018
Volume:   6
Weight:   0.454kg
ISBN:  

9783030095260


ISBN 10:   3030095266
Pages:   171
Publication Date:   19 December 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. Basics on Morse homology.- 2. Perturbations of gradient flow trajectories.- 3. Nonlocal generalizations.- 4. Moduli spaces of perturbed Morse ribbon trees.- 5. The convergence behaviour of sequences of perturbed Morse ribbon trees.- 6. Higher order multiplications and the A∞-relations.- 7. A∞-bimodule structures on Morse chain complexes.- A. Orientations and sign computations for perturbed Morse ribbon trees.

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Author Information

Dr. Stephan Mescher is a Research Fellow at the University of Leipzig. He graduated with a degree in Mathematics from Bielefeld University in 2008 and obtained his Ph.D. at the University of Leipzig in 2017, supervised by Prof. Matthias Schwarz.

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