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>>