Email this article An Invariant of Knots in Thickened Surfaces
- Authors: Zenkina M.V.1
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Affiliations:
- Moscow State Pedagogical University
- Issue: Vol 214, No 5 (2016)
- Pages: 728-740
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/237499
- DOI: https://doi.org/10.1007/s10958-016-2809-y
- ID: 237499
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Abstract
In the present paper, we construct an invariant of knots in the thickened sphere with g handles dependent on 2g + 3 variables. In the construction of the invariant we use the Wirtinger presentation of the knot group and the concept of parity introduced by Manturov [9]. In the present paper, we also consider examples of knots in the thickened torus considered in [2] such that their nonequivalence is proved by using the constructed polynomial.
About the authors
M. V. Zenkina
Moscow State Pedagogical University
Author for correspondence.
Email: zenkina-m@mail.ru
Russian Federation, Moscow
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