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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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The dual volume of quasi-Fuchsian manifolds and the Weil-Petersson distance
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by Filippo Mazzoli PDF
Trans. Amer. Math. Soc. 375 (2022), 695-723 Request permission

Abstract:

Making use of the dual Bonahon-Schläfli formula, we prove that the dual volume of the convex core of a quasi-Fuchsian manifold $M$ is bounded by an explicit constant, depending only on the topology of $M$, times the Weil-Petersson distance between the hyperbolic structures on the upper and lower boundary components of the convex core of $M$.
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Additional Information
  • Filippo Mazzoli
  • Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia
  • MR Author ID: 1428393
  • ORCID: 0000-0002-6609-915X
  • Email: filippomazzoli@me.com
  • Received by editor(s): September 22, 2020
  • Received by editor(s) in revised form: March 9, 2021, April 18, 2021, and June 22, 2021
  • Published electronically: October 8, 2021
  • Additional Notes: This work was supported by the Luxembourg National Research Fund PRIDE15/10949314/GSM/Wiese
  • © Copyright 2021 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 375 (2022), 695-723
  • MSC (2020): Primary 30F50; Secondary 57K32, 30F40
  • DOI: https://doi.org/10.1090/tran/8521
  • MathSciNet review: 4358680