£68.51

Springer Perturbed Gradient Flow Trees and A∞-algebra Structures in Morse Cohomology: 6 (Atlantis Studies in Dynamical Systems, 6)

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£68.51 £66.56 £66.99 £67.41 £67.84 £68.26 £68.69 01 May 2026 18 May 2026 05 June 2026 22 June 2026 10 July 2026

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Description

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.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
07 May 2018
Listed Since
30 January 2018

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