English

Morse complexes and multiplicative structures

Algebraic Topology 2021-08-19 v2 Geometric Topology

Abstract

In this article we lay out the details of Fukaya's AA_\infty-structure of the Morse complexe of a manifold possibly with boundary. We show that this AA_\infty-structure is homotopically independent of the made choices. We emphasize the transversality arguments that make some fiber products smooth.

Keywords

Cite

@article{arxiv.1810.09105,
  title  = {Morse complexes and multiplicative structures},
  author = {Hossein Abbaspour and Francois Laudenbach},
  journal= {arXiv preprint arXiv:1810.09105},
  year   = {2021}
}
R2 v1 2026-06-23T04:47:48.150Z