Geometry of knots and links Full article
| Journal |
IRMA Lectures in Mathematics and Theoretical Physics
ISSN: 2523-5133 , E-ISSN: 2523-5141 |
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| Output data | Year: 2021, Volume: 33, Pages: 433-454 Pages count : 22 DOI: 10.4171/irma/33-1/20 | ||||
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Funding (1)
| 1 | Russian Science Foundation | 18-01-00420 |
Abstract:
We give an overview of recent results on the geometry of knots and links. More precisely, we investigate the existence of hyperbolic, spherical or Euclidean structure on various cone manifolds whose underlying space is the three-dimensional sphere and singular set is a given knot or link. We present trigonometrical identities involving the lengths of singular geodesics and cone angles of such cone manifolds. Then these identities are used to produce exact integral formulae for volumes of the corresponding cone manifolds.
Cite:
Abrosimov N.
, Mednykh A.
Geometry of knots and links
IRMA Lectures in Mathematics and Theoretical Physics. 2021. V.33. P.433-454. DOI: 10.4171/irma/33-1/20 OpenAlex
Geometry of knots and links
IRMA Lectures in Mathematics and Theoretical Physics. 2021. V.33. P.433-454. DOI: 10.4171/irma/33-1/20 OpenAlex
Dates:
| Published online: | Jul 15, 2021 |
Identifiers:
| OpenAlex: | W3173358635 |
Citing:
| DB | Citing |
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| OpenAlex | 1 |