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A Lower Bound for the Crossing Number of Links in Thickened Surfaces

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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… Click to show full 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.

Keywords: number links; thickened surfaces; crossing number; bound crossing; lower bound

Journal Title: Siberian Mathematical Journal
Year Published: 2018

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