Formality of $A_{\infty }$-Algebras

Abstract

This master's thesis contains an introduction to $A_{\infty }$-algebras and homological perturbation theory. We then discuss the formality of compact Kähler manifolds and present a direct proof of a homotopy transfer principle of $A_{\infty }$-algebras, also known as Kadeishvili's Theorem.

53 pages

References in corpus (4)

• On homotopy invariance for algebras over colored PROPs
• A relative version of the ordinary perturbation lemma
• Wall-crossing from Lagrangian Cobordisms
• A closer look at Kadeishvili's theorem