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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
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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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Geoffroy Horel
Affiliation: Institut Montpelliérain Alexander Grothendieck, CNRS, Univ. Montpellier, France; Université Paris 13, Sorbonne Paris Cité, Laboratoire Analyse, Géométrie et Applications, CNRS (UMR 7539), 93430, Villetaneuse, France
Email: clement.dupont@umontpellier.fr, horel@math.univ-paris13.fr

DOI: https://doi.org/10.1090/proc/13874
Received by editor(s): February 26, 2017
Received by editor(s) in revised form: July 4, 2017
Published electronically: December 12, 2017
Communicated by: Michael A. Mandell
Article copyright: © Copyright 2017 American Mathematical Society

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