On Homotopy Invariance for Algebras over Colored Props

@inproceedings{Johnson2009OnHI,
  title={On Homotopy Invariance for Algebras over Colored Props},
  author={Mark W. Johnson and Donald Yau},
  year={2009}
}
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 BoardmanVogt 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. 

From This Paper

Figures, tables, and topics from this paper.
7 Citations
17 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 17 references

Moerdijk , Resolution of colured operads and rectification of homotopy algebras

  • I.
  • Math .
  • 2007

Moerdijk , Resolution of colured operads and rectification of homotopy algebras , Contemp

  • I.
  • Math .
  • 2007

Chataur , A bordism approach to string topology

  • D.
  • Int . Math . Res . Not .
  • 2005

Birkhäuser

  • Homotopy theoretical methods in group cohomology, Adv. Courses Math. CRM Barcelona
  • Basel,
  • 2001

5

  • Texts in Math
  • 2nd ed., Springer, New York,
  • 1998

Similar Papers

Loading similar papers…