Name: Perturbed Gradient Flow Trees and A∞-Algebra Structures in Morse Cohomology (en Inglés)
Price: 229021.00 COP
Availability: InStock
Author: Mescher, Stephan
ISBN: 9783030095260

portada Perturbed Gradient Flow Trees and A∞-Algebra Structures in Morse Cohomology (en Inglés)

Perturbed Gradient Flow Trees and A∞-Algebra Structures in Morse Cohomology (en Inglés)

Formato

Libro Físico

Autor

Stephan Mescher

Editorial

Springer

Idioma

Inglés

N° páginas

171

Encuadernación

Tapa Blanda

Dimensiones

23.6 x 21.3 x 1.0 cm

Peso

0.27 kg.

ISBN13

9783030095260

Categorías

Cibernética y teoría de sistemas
Cálculo y análisis matemático
Topología

Perturbed Gradient Flow Trees and A∞-Algebra Structures in Morse Cohomology (en Inglés)

Stephan Mescher (Autor) · Springer · Tapa Blanda

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Reseña del libro "Perturbed Gradient Flow Trees and A∞-Algebra Structures in Morse Cohomology (en Inglés)"

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.