On homotopy invariance for algebras over colored PROPs

Details On homotopy invariance for algebras over colored PROPs On homotopy invariance for algebras over colored PROPs

2009-05-29

arxiv.org/abs/0906.0015v4

Journal of Homotopy and Related Structures 4 (2009) 275-315

Mathematics

Algebraic Topology

final version, to appear in Journal of Homotopy and Related Structures

Scientific paper

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.

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