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L_∞ and A_∞ structures: then and now

2018/09/04 by Stasheff, Jim
#FOS: Mathematics #FOS: Physical sciences #History and Overview (math.HO) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1809.02526

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 A_∞-structures and later of L_∞ -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.

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