Operads of moduli spaces of points in $\mathbb {C}^d$
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Abstract:
We compute the structure of the homology of an operad built from the spaces $\mathrm {TH}_{d, n}$ of configurations of points in $\mathbb {C}^d$, modulo translation and homothety. We find that it is a mild generalization of Getzler’s gravity operad, which occurs in dimension $d=1$.References
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Additional Information
- Craig Westerland
- Affiliation: Department of Mathematics and Statistics, University of Melbourne, Parkville, VIC, 3010, Australia
- Received by editor(s): June 24, 2011
- Received by editor(s) in revised form: December 1, 2011
- Published electronically: May 31, 2013
- Additional Notes: The author was partially supported by NSF grant DMS-0705428 and ARC grant DP1095831
- Communicated by: Brooke Shipley
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 3029-3035
- MSC (2010): Primary 14D22, 55N91, 55P48, 55R12, 55R80
- DOI: https://doi.org/10.1090/S0002-9939-2013-11577-7
- MathSciNet review: 3068956