Published May 15, 2022
| Submitted
Journal Article
Open
Closed hypersurfaces of low entropy in R⁴ are isotopically trivial
- Creators
- Bernstein, Jacob
- Wang, Lu
Abstract
We show that any closed connected hypersurface in ℝ⁴ with entropy less than or equal to that of the round cylinder is smoothly isotopic to the standard three-sphere.
Additional Information
© 2022 Duke University Press. Received: 21 September 2020; Revised: 3 June 2021; Published: 15 May 2022. First available in Project Euclid: 14 April 2022. The first author was partially supported by the National Science Foundation (NSF) grants DMS-1609340 and DMS-1904674 and the Institute for Advanced Study with funding provided by the Charles Simonyi Endowment. The second author was partially supported by NSF grants DMS-2018221 (formerly DMS-1811144) and DMS-2018220 (formerly DMS-1834824), the Wisconsin Alumni Research Foundation, a Vilas Early Career Investigator Award by the University of Wisconsin–Madison, and a von Neumann Fellowship by the Institute for Advanced Study with funding from the Zürich Insurance Company and NSF grant DMS-1638352.Attached Files
Submitted - 2003.13858.pdf
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2003.13858.pdf
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Additional details
- Eprint ID
- 116170
- Resolver ID
- CaltechAUTHORS:20220808-886715000
- DMS-1609340
- NSF
- DMS-1904674
- NSF
- Institute for Advanced Study
- DMS-2018221
- NSF
- DMS-1811144
- NSF
- DMS-2018220
- NSF
- DMS-1834824
- NSF
- Wisconsin Alumni Research Foundation
- University of Wisconsin-Madison
- Zürich Insurance Company
- DMS-1638352
- NSF
- Created
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2022-08-11Created from EPrint's datestamp field
- Updated
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2022-08-11Created from EPrint's last_modified field