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

Martin Markl

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

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arxiv math/0401007 v3 pith:VBLJSOD6 submitted 2004-01-02 math.AT

Martin Markl This is my paper · ORCID

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keywords explicitformulasinftystructurestransfersalreadyassociativeassumptions

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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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