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arXiv:math/0401007 [math.AT]AbstractReferencesReviewsResources

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

Martin Markl

Published 2004-01-02, updated 2009-01-16Version 3

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.

Comments: LaTeX 2.09, 14 pages. Relation to the work of Huebschmann and Kadeishvili made precise
Categories: math.AT
Subjects: 18D10, 55S99
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