Counting cusped hyperbolic 3-manifolds that bound geometrically
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- by Alexander Kolpakov and Stefano Riolo PDF
- Trans. Amer. Math. Soc. 373 (2020), 229-247
Abstract:
We show that the number of isometry classes of cusped hyperbolic $3$-manifolds that bound geometrically grows at least super-exponentially with their volume, both in the arithmetic and non-arithmetic settings.References
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Additional Information
- Alexander Kolpakov
- Affiliation: Institut de mathématiques, Rue Emile-Argand 11, 2000 Neuchâtel, Switzerland
- MR Author ID: 774696
- Email: kolpakov.alexander@gmail.com
- Stefano Riolo
- Affiliation: Institut de mathématiques, Rue Emile-Argand 11, 2000 Neuchâtel, Switzerland
- MR Author ID: 1238464
- Email: stefano.riolo@unine.ch
- Received by editor(s): February 14, 2019
- Received by editor(s) in revised form: April 21, 2019
- Published electronically: August 1, 2019
- Additional Notes: The authors were supported by the Swiss National Science Foundation, project no. PP00P2-170560
- © Copyright 2019 by the authors
- Journal: Trans. Amer. Math. Soc. 373 (2020), 229-247
- MSC (2010): Primary 57R90, 57M50, 20F55, 37F20
- DOI: https://doi.org/10.1090/tran/7883
- MathSciNet review: 4042873