Equivariant operads , string topology , and Tate cohomology

  • Mathematische Annalen
  • Published 2007


From an operad C with an action of a group G, we construct new operads using the homotopy fixed point and orbit spectra. These new operads are shown to be equivalent when the generalized G-Tate cohomology of C is trivial. Applying this theory to the little disk operad C2 (which is an S1-operad) we obtain variations on Getzler’s gravity operad, which we show… (More)

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