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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48.

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Infinitely many arithmetic hyperbolic rational homology $3$–spheres that bound geometrically
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by L. Ferrari, A. Kolpakov and A. W. Reid HTML | PDF
Trans. Amer. Math. Soc. 376 (2023), 1979-1997 Request permission

Abstract:

In this paper we provide the first examples of arithmetic hyperbolic $3$–manifolds that are rational homology spheres and bound geometrically either compact or cusped hyperbolic $4$–manifolds.
References
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Additional Information
  • L. Ferrari
  • Affiliation: Institut de Mathématiques, Université de Neuchâtel, Rue Emile–Argand 11, 2000 Neuchâtel, Switzerland
  • MR Author ID: 1484679
  • ORCID: 0000-0003-2329-5975
  • Email: leonardocpferrari@gmail.com
  • A. Kolpakov
  • Affiliation: Institut de Mathématiques, Université de Neuchâtel, Rue Emile–Argand 11, 2000 Neuchâtel, Switzerland
  • MR Author ID: 774696
  • ORCID: 0000-0002-6764-8894
  • Email: kolpakov.alexander@gmail.com
  • A. W. Reid
  • Affiliation: Department of Mathematics, Rice University, Houston, Texas 77005; and Max-Planck-Insititut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany
  • MR Author ID: 146355
  • ORCID: 0000-0003-0367-9453
  • Email: alan.reid@rice.edu, areid@mpim-bonn.mpg.de
  • Received by editor(s): May 10, 2022
  • Received by editor(s) in revised form: August 24, 2022
  • Published electronically: November 9, 2022
  • Additional Notes: The first and third authors were supported by the Swiss National Science Foundation, project no. PP00P2–202667. The second author was supported by the National Science Foundation and the Max–Planck–Institut für Mathematik
  • © Copyright 2022 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 376 (2023), 1979-1997
  • MSC (2020): Primary 57K32; Secondary 57R40, 57R42
  • DOI: https://doi.org/10.1090/tran/8816
  • MathSciNet review: 4549697