Perturbed Gradient Flow Trees and A8-algebra Structures in Morse Cohomology (Atlantis Studies in Dynamical Systems (6), Band 6)

Language: English

Published by Springer International Publishing, 2018

3319765833 / 9783319765839

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Gebraucht - Sehr gut SG - leichte Beschädigungen oder Verschmutzungen, ungelesenes Mängelexemplar, gestempelt - This book elaborates on an idea put forward by M. Abouzaid on equipping the Morse cochain complex of a smooth Morse function on a closed oriented manifold with the structure of an A-algebra by means of perturbed gradient flow trajectories. This approach is a variation on K. Fukaya's definition of Morse-A-categories for closed oriented manifolds involving families of Morse functions. To make A-structures in Morse theory accessible to a broader audience, this book provides a coherent and detailed treatment of Abouzaid's approach, including a discussion of all relevant analytic notions and results, requiring only a basic grasp of Morse theory. In particular, no advanced algebra skills are required, and the perturbation theory for Morse trajectories is completely self-contained. In addition to its relevance for finite-dimensional Morse homology, this book may be used as a preparation for the study of Fukaya categories in symplectic geometry. It will be of interest to researchers in mathematics (geometry and topology), and to graduate students in mathematics with a basic command of the Morse theory.…

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Title
Perturbed Gradient Flow Trees and A8-algebra Structures in Morse Cohomology (Atlantis Studies in Dynamical Systems (6), Band 6)
Author
Stephan Mescher
Publisher
Springer International Publishing
Publication year
2018
Condition
Sehr gut
Binding
Gebundene Ausgabe
Language
English
ISBN 10
3319765833
ISBN 13
9783319765839
Item weight
471 grams
Dimensions
241x160x17 mm

AHA-BUCH GmbH

Einbeck, Germany

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