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 a link in thickened surfaces.

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V. Tarkaev

Chelyabinsk State University; Institute of Mathematics and Mechanics

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Email: trk@csu.ru
俄罗斯联邦, Chelyabinsk; Ekaterinburg

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