Email this article Weak Parities and Functorial Maps
- Authors: Nikonov I.M.1
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Affiliations:
- Department of Mechanics and Mathematics, Moscow State University
- Issue: Vol 214, No 5 (2016)
- Pages: 699-717
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237493
- DOI: https://doi.org/10.1007/s10958-016-2807-0
- ID: 237493
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Abstract
We consider functorial maps and weak parities that are two equivalent descriptions of one object. Functorial maps allow one to transform knots and extend knot invariants with these transformations. We introduce maximal weak parity and calculate it for knots in a given closed oriented surface. The weak parity induce a projection from virtual knots onto classical ones.
About the authors
I. M. Nikonov
Department of Mechanics and Mathematics, Moscow State University
Author for correspondence.
Email: nikonov@mech.math.msu.su
Russian Federation, Moscow
