Abstract
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 C (which is an S 1-operad) we obtain variations on Getzler's gravity operad, which we show governs the Chas-Sullivan string bracket.
Original language | English (US) |
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Pages (from-to) | 97-142 |
Number of pages | 46 |
Journal | Mathematische Annalen |
Volume | 340 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 2008 |