Email this article A Lower Bound for the Crossing Number of Links in Thickened Surfaces
- Authors: Tarkaev V.V.1,2
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Affiliations:
- Chelyabinsk State University
- Institute of Mathematics and Mechanics
- Issue: Vol 59, No 6 (2018)
- Pages: 1125-1132
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172149
- DOI: https://doi.org/10.1134/S0037446618060150
- ID: 172149
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Abstract
We introduce the notion of homological multiplicity for an oriented link in a thickened orientable closed surface. Using the notion, we establish some lower bounds for the crossing number of a link in thickened surfaces.
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About the authors
V. V. Tarkaev
Chelyabinsk State University; Institute of Mathematics and Mechanics
Author for correspondence.
Email: trk@csu.ru
Russian Federation, Chelyabinsk; Ekaterinburg
