English

$L_\infty$ and $A_\infty$ structures: then and now

Quantum Algebra 2018-10-03 v2 Mathematical Physics History and Overview math.MP

Abstract

Looking back over 55 years of higher homotopy structures, I reminisce as I recall the early days and ponder how they developed and how I now see them. From the history of AA_\infty-structures and later of LL_\infty -structures and their progeny, I hope to highlight some old results which seem not to have garnered the attention they deserve as well as some tantalizing new connections.

Cite

@article{arxiv.1809.02526,
  title  = {$L_\infty$ and $A_\infty$ structures: then and now},
  author = {Jim Stasheff},
  journal= {arXiv preprint arXiv:1809.02526},
  year   = {2018}
}

Comments

Hopefully the penultimate draft Now 41 pages 2 figures Comments and suggestions still most welcome. Don't hesitate to suggest your own work

R2 v1 2026-06-23T03:58:07.411Z