Lower bounds for the number of positive and negative crossings in oriented link diagrams
Bull. Korean Math. Soc. 2017 Vol. 54, No. 6, 2149-2154
Published online July 21, 2017
Printed November 30, 2017
Fengchun Lei, Kai Zhang
Dalian University of Technology, Dalian University of Technology
Abstract : In this paper, we obtain a simple lower bound for the number of positive (resp. negative) crossings in oriented link diagrams in terms of the maximal (resp. minimal) degree of the Jones polynomial.
Keywords : Jones polynomial, positive crossings, negative crossings
MSC numbers : Primary 57M25
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