Special Issue on Virtual Knot TheoryNo Access

PARITY, SKEIN POLYNOMIALS AND CATEGORIFICATION

AARON M. KAESTNER

Department of Mathematics, North Park University, USA

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and

LOUIS H. KAUFFMAN

Department of Mathematics, University of Illinois, USA

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https://doi.org/10.1142/S0218216512400111Cited by:7 (Source: Crossref)

Abstract

We investigate an application of crossing parity for the bracket expansion of the Jones polynomial for virtual knots. In addition we consider an application of parity for the arrow polynomial as well as for the categorifications of both polynomials. We present a number of examples found through our calculations. We provide tables of calculations for these invariants on virtual knots with at most four real crossings.

Keywords:

AMSC: 57M27

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