On homotopy invariance for algebras over colored PROPs
arXiv:0906.0015
Abstract
Over a monoidal model category, under some mild assumptions, we equip the categories of colored PROPs and their algebras with projective model category structures. A Boardman-Vogt style homotopy invariance result about algebras over cofibrant colored PROPs is proved. As an example, we define homotopy topological conformal field theories and observe that such structures are homotopy invariant.
final version, to appear in Journal of Homotopy and Related Structures