On two chain models for the gravity operad

On two chain models for the gravity operad

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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Veröffentlicht in:Proceedings of the American Mathematical Society 2018-05, Vol.146 (5), p.1895-1910
Hauptverfasser: DUPONT, CLÉMENT, HOREL, GEOFFROY
Format: Artikel
Sprache:eng
Schlagworte:
A. ALGEBRA, NUMBER THEORY, AND COMBINATORICS
Algebraic Geometry
Algebraic Topology
Mathematics
Quantum Algebra
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Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13874