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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On two chain models for the gravity operad
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by Clément Dupont and Geoffroy Horel PDF
Proc. Amer. Math. Soc. 146 (2018), 1895-1910 Request permission


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:,
  • 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
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 1895-1910
  • MSC (2010): Primary 18D50, 32G15, 55P62; Secondary 55P42
  • DOI:
  • MathSciNet review: 3767344