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Bull. Korean Math. Soc. 2017; 54(6): 2149-2154

Online first article July 21, 2017      Printed November 30, 2017

https://doi.org/10.4134/BKMS.b160784

Copyright © The Korean Mathematical Society.

Lower bounds for the number of positive and negative crossings in oriented link diagrams

Fengchun Lei, Kai Zhang

Dalian University of Technology, Dalian University of Technology

Abstract

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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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