Morse complexes and multiplicative structures

Abstract

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

References in corpus (1)

• Floer theory and flips