A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds
|
|
| Creator |
Dubois, J.
Korepanov, I.G. Martyushev, E.V. |
|
| Description |
We present an invariant of a three-dimensional manifold with a framed knot in it based on the Reidemeister torsion of an acyclic complex of Euclidean geometric origin. To show its nontriviality, we calculate the invariant for some framed (un)knots in lens spaces. Our invariant is related to a finite-dimensional fermionic topological quantum field theory.
|
|
| Date |
2019-02-09T09:15:25Z
2019-02-09T09:15:25Z 2010 |
|
| Type |
Article
|
|
| Identifier |
A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds / J. Dubois , Korepanov I.G., Martyushev E.V.// Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 22 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 57M27; 57Q10; 57R56 DOI:10.3842/SIGMA.2010.032 http://dspace.nbuv.gov.ua/handle/123456789/146349 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|