On two chain models for the gravity operad

Dupont, Clément; Horel, Geoffroy

doi:10.1090/proc/13874

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On two chain models for the gravity operad

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Dupont, Clément
Max Planck Institute for Mathematics, Max Planck Society;

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Horel, Geoffroy
Max Planck Institute for Mathematics, Max Planck Society;

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http://dx.doi.org/10.1090/proc/13874
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arXiv:1702.02479.pdf
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Dupont, C., & Horel, G. (2018). On two chain models for the gravity operad. Proceedings of the American Mathematical Society, 146(5), 1895-1910. doi:10.1090/proc/13874.

Cite as: https://hdl.handle.net/21.11116/0000-0003-D0F6-C

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.