How Dennis realized he had `invented' $L_\infty$-algebras a.k.a. strongly homotopy Lie algebras

Jim Stasheff

How Dennis realized he had `invented' $L_\infty$-algebras a.k.a. strongly homotopy Lie algebras

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arxiv 1609.08401 v1 pith:MTPV2RI3 submitted 2016-09-24 math.AT math.HO

Jim Stasheff This is my paper

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keywords algebrasdennishomotopyinftyinventedrealizedstronglyattempt

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abstract

This is my attempt to rediscover how Dennis realized that he had discovered/invented $L_\infty$-algebras a.k.a. strongly homotopy Lie algebras before my colleagues and I defined them.

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Observables of Relative Structures and Lie 2-algebras associated with Quasi-Hamiltonian $G$-spaces
math.SG 2025-09 reject novelty 5.0 of 10

Relative n-plectic structures are claimed to produce L-infinity algebras of observables, yielding Lie 2-algebras and homotopy moment maps for quasi-Hamiltonian G-spaces, though several sign and generality issues remain.

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