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

Authors: Clément Dupont and Geoffroy Horel
Journal: Proc. Amer. Math. Soc. 146 (2018), 1895-1910
MSC (2010): Primary 18D50, 32G15, 55P62; Secondary 55P42
DOI: https://doi.org/10.1090/proc/13874
Published electronically: December 12, 2017
MathSciNet review: 3767344
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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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