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

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.

LaTeX 2.09, 14 pages. Relation to the work of Huebschmann and Kadeishvili made precise

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