## Archival Version

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On Homotopy Invariance for Algebras over Colored PROPs
#
On Homotopy Invariance for Algebras over Colored PROPs

##
Mark W. Johnson and Donald Yau

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
\emph{homotopy} topological conformal field theories and observe that such
structures are homotopy invariant.

Journal of Homotopy and Related Structures, Vol. 4(2009), No. 1, pp. 275-315