On two chain models for the gravity operad

C Dupont, G Horel - Proceedings of the American Mathematical Society, 2018 - ams.org
Proceedings of the American Mathematical Society, 2018ams.org
… 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. … The goal of the present paper is
to explain how these models of the gravity operad and their homology are related. Firstly,
we prove that the …
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. References
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