Perturbed gradient flow trees and \(A_\infty\)-algebra structures in Morse cohomology

DOI10.1007/978-3-319-76584-6zbMath1402.58002OpenAlexW2801897835MaRDI QIDQ1708216

Stephan Mescher

Publication date: 4 April 2018

Published in: Atlantis Studies in Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-76584-6

zbMATH Keywords

moduli spaces\(A_\infty\)-algebragradient flow treesMorse cohomology

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamics induced by flows and semiflows (37C10) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Critical points and critical submanifolds in differential topology (57R70) Chain complexes in algebraic topology (55U15) Other homology theories in algebraic topology (55N35) Critical points of functions and mappings on manifolds (58K05) Morse-Smale systems (37D15)

Related Items (3)

\(A ( \infty )\)-algebra structure in the cohomology and cohomologies of a free loop space ⋮ A construction of the quantum Steenrod squares and their algebraic relations ⋮ Morse complexes and multiplicative structures

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