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Transferring $A_\infty$ (strongly homotopy associative) structures

Martin Markl
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Abstract

We give explicit formulas for transfers of $A_\infty$-structures and related maps and homotopies in the most easy situation in which these transfers exist. One half of our formulas was already known to Kontsevich-Soibelman and to Merkulov who derived them, without explicit signs, under slightly stronger assumptions than those made in this note.

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Martin Markl. 2009-01-16. Transferring $A_\infty$ (strongly homotopy associative) structures. https://arxiv.org/abs/math/0401007

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