Morse complexes and multiplicative structures

DOI10.1007/s00209-021-02863-yzbMath1492.57019arXiv1810.09105OpenAlexW3207274799MaRDI QIDQ2114164

François Laudenbach, Hossein Abbaspour

Publication date: 15 March 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.09105

zbMATH Keywords

Morse theory\(A_\infty\)-structurepseudo-gradientMorse complexes

Mathematics Subject Classification ID

Critical points and critical submanifolds in differential topology (57R70) Algebraic topology on manifolds and differential topology (57R19)

Related Items

The Poincaré-Lefschetz pairing viewed on Morse complexes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A topological model for the Fukaya categories of plumbings
• A Morse complex on manifolds with boundary
• Fukaya categories and Picard-Lefschetz theory
• Morse theory for Lagrangian intersections
• Rigidity and gluing for Morse and Novikov complexes
• Perturbed gradient flow trees and \(A_\infty\)-algebra structures in Morse cohomology
• Higher order generalization of Fukaya's Morse homotopy invariant of 3-manifolds. I: Invariants of homology 3-spheres
• A cohomology complex for manifolds with boundary
• Floer trajectories and stabilizing divisors
• Floer homology of families. I.
• Quelques propriétés globales des variétés différentiables
• Semiclassical Asymptotics on Manifolds with Boundary
• Introduction to \(A\)-infinity algebras and modules
• Finite volume flows and Morse theory