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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
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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Additional Information

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
MR Author ID: 1112508
Email: clement.dupont@umontpellier.fr, horel@math.univ-paris13.fr

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