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

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

2004-01-02

arxiv.org/abs/math/0401007v3

Mathematics

Algebraic Topology

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

Scientific paper

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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