Operads of moduli spaces of points in ℂ^{𝕕}

Westerland, Craig

doi:10.1090/S0002-9939-2013-11577-7

Operads of moduli spaces of points in $\mathbb {C}^d$
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Proc. Amer. Math. Soc. 141 (2013), 3029-3035 Request permission

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 $d=1$.

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