English

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

Algebraic Topology 2009-01-16 v3

Abstract

We give explicit formulas for transfers of AA_\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.

Cite

@article{arxiv.math/0401007,
  title  = {Transferring $A_\infty$ (strongly homotopy associative) structures},
  author = {Martin Markl},
  journal= {arXiv preprint arXiv:math/0401007},
  year   = {2009}
}

Comments

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