Morse complexes and multiplicative structures. (arXiv:1810.09105v1 [math.AT])
In this article we lay out the details of Fukaya's A $\infty$-structure of
the Morse com-plexe of a manifold possibily with boundary. We show that this A
$\infty$-structure is homotopically independent of the made choices. We
emphasize the transversality arguments that some fiber product constructions
make valid.查看全文