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Euclidean volumes of hyperbolic knots.
- Source :
- Proceedings of the American Mathematical Society; Feb2024, Vol. 152 Issue 2, p869-881, 13p
- Publication Year :
- 2024
-
Abstract
- The hyperbolic structure on a 3–dimensional cone–manifold with a knot as singularity can often be deformed into a limiting Euclidean structure. In the present paper we show that the respective normalised Euclidean volume is always an algebraic number, which is reminiscent of Sabitov's theorem (the Bellows Conjecture). This fact also stands in contrast to hyperbolic volumes whose number–theoretic nature is usually quite complicated. [ABSTRACT FROM AUTHOR]
- Subjects :
- HYPERBOLOID structures
ALGEBRAIC numbers
LOGICAL prediction
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 152
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 174558672
- Full Text :
- https://doi.org/10.1090/proc/16353