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math.GT2011
Parity, Skein Polynomials and Categorification
Aaron Kaestner, Louis H. Kauffman
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…
math.GT2011
Parity Biquandles
Aaron Kaestner, Louis H. Kauffman
We use crossing parity to construct a generalization of biquandles for virtual knots which we call Parity Biquandles. These structures include all biquandles as a standard example…