English

Formality of $A_\infty$-Algebras

Rings and Algebras 2021-07-08 v1 Algebraic Topology

Abstract

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

Keywords

Cite

@article{arxiv.2107.03195,
  title  = {Formality of $A_\infty$-Algebras},
  author = {Carl Felix Waller},
  journal= {arXiv preprint arXiv:2107.03195},
  year   = {2021}
}

Comments

53 pages

R2 v1 2026-06-24T03:57:54.383Z