On two chain models for the gravity operad

Dupont, Clément; Horel, Geoffroy

doi:10.1090/proc/13874

On two chain models for the gravity operad
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by Clément Dupont and Geoffroy Horel

Proc. Amer. Math. Soc. 146 (2018), 1895-1910

DOI: https://doi.org/10.1090/proc/13874

Published electronically: December 12, 2017

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Abstract:

In this paper we recall the construction of two chain level lifts of the gravity operad, one due to Getzler–Kapranov and one due to Westerland. We prove that these two operads are formal and that they indeed have isomorphic homology.

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