Based chord diagrams of spherical curves

Abstract

This paper demonstrates an approach for developing a framework to produce invariants of base-point-free generic spherical curves under some chosen local moves from Reidemeister moves using based chord diagrams. Our invariants not only contain Arnold's classical generic spherical curve invariant but also new invariants.

21 pages, 21 figures, 15 tables

References in corpus (1)

• Sub-chord diagrams of knot projections

Cited by in corpus (1)

• Goussarov-Polyak-Viro Conjecture for degree three case