Abstract:
In this work, we study the interlace polynomial as a generalization of a graph invariant to delta-matroids. We prove that the interlace polynomial satisfies the four-term relation for delta-matroids and thus determines a finite type invariant of links in the $3$-sphere.
Using the interlace polynomial, we give a lower bound for the size of the Hopf algebra of binary delta-matroids modulo the $4$-term relations.
Keywords:interlace polynomial, knot and link invariants, binary delta-matroids, graph invariants.
Fulltext:
PDF file (611 kB)
First page:
PDF file