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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Original Russian Text © 2018 Tarkaev V.V.
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Chelyabinsk; Ekaterinburg. Translated from Sibirskii Matematicheskii Zhurnal, vol. 59, no. 6, pp. 1412–1422, November–December, 2018; DOI: 10.17377/smzh.2018.59.615.
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Tarkaev, V.V. A Lower Bound for the Crossing Number of Links in Thickened Surfaces. Sib Math J 59, 1125–1132 (2018). https://doi.org/10.1134/S0037446618060150
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DOI: https://doi.org/10.1134/S0037446618060150