Perturbed Gradient Flow Trees and A¿-algebra Structures in Morse Cohomology
Language: English
Published by Palgrave Macmillan, 2018
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 89.82
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Add to basketItem description from seller
nach der Bestellung gedruckt Neuware - Printed after ordering - 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 beof interest to researchers in mathematics (geometry and topology), and to graduate students in mathematics with a basic command of the Morse theory.…
Seller Inventory # 9783319765839
- Title
- Perturbed Gradient Flow Trees and A¿-algebra Structures in Morse Cohomology
- Author
- Stephan Mescher
- Publisher
- Palgrave Macmillan
- Publication year
- 2018
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 3319765833
- ISBN 13
- 9783319765839
- Item weight
- 471 grams
- Dimensions
- 241x160x17 mm
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