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Homotopy Algebras are Homotopy Algebras

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arxiv math/9907138 v3 pith:FPFJGY6Y submitted 1999-07-22 math.AT

Martin Markl This is my paper · ORCID
classification math.AT
keywords homotopyinftyalgebraschainstronglycategorycomplexesconsequence
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abstract

We prove that strongly homotopy algebras (such as $A_\infty$, $C_\infty$, sh Lie, $B_\infty$, $G_\infty$,...) are homotopically invariant in the category of chain complexes. An important consequence is a rigorous proof that `strongly homotopy structures transfer over chain homotopy equivalences.'

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  1. Full S-matrices and Witten diagrams with (relative) L-infinity algebras

    hep-th 2024-12 conditional novelty 7.0 of 10

    Cyclic relative L-infinity algebras encode the full S-matrix, including its trivial part, and reproduce Witten diagrams including CFT two-point functions.

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