51 citations · 313 across the 22 of their papers we have counts for
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Problems on invariants of knots and 3-manifolds
J. E. Andersen, N. Askitas, D. Bar-Natan +57
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…
An almost-integral universal Vassiliev invariant of knots
Simon Willerton
A `total Chern class' invariant of knots is defined. This is a universal Vassiliev invariant which is integral `on the level of Lie algebras' but it is not expressible as an intege…
On the first two Vassiliev invariants
Simon Willerton
The values that the first two Vassiliev invariants take on prime knots with up to fourteen crossings are considered. This leads to interesting fish-like graphs. Several results abo…
Free groups and finite type invariants of pure braids
Jacob Mostovoy, Simon Willerton
Finite type invariants (also known as Vassiliev invariants) of pure braids are considered from a group-theoretic point of view. New results include a construction of a universal in…
The Kontsevich integral and algebraic structures on the space of diagrams
Simon Willerton
This paper is part expository and part presentation of calculational results. The target space of the Kontsevich integral for knots is a space of diagrams; this space has various a…