Finite Type Invariants of w-Knotted Objects: From Alexander to Kashiwara and Vergne

Abstract

This preprint was split in two and became the first two parts of a four-part series (arXiv:1405.1956, arXiv:1405:1955, and two in preparation). The remaining relevance of this preprint is due to the series of videotaped lectures (wClips) that are linked within.

100 pages, many figures

References in corpus (6)

• Finite Type Invariants of w-Knotted Objects I: w-Knots and the Alexander Polynomial
• Exotic Statistics for Strings in 4d BF Theory
• Drinfeld associators, braid groups and explicit solutions of the Kashiwara-Vergne equations
• Combinatorial Formulas for Classical Lie Weight Systems on Arrow Diagrams
• Goussarov-Polyak-Viro combinatorial formulas for finite type invariants
• Knot invariants derived from the equivariant linking pairing

Cited by in corpus (6)

• Finite Type Invariants of w-Knotted Objects I: w-Knots and the Alexander Polynomial
• Unrestricted virtual braids, fused links and other quotients of virtual braid groups
• Finite Type Invariants of w-Knotted Objects IV: Some Computations
• Tangle Machines II: Invariants
• Classification of Flat Virtual Pure Tangles
• Inca Foams