26 citations · 38 across the 5 of their papers we have counts for
5 papers
On spaces of connected graphs III: The Ladder Filtration
Jan Kneissler
A new filtration of the spaces of tri-/univalent graphs B_m^u that occur in the theory of finite-type invariants of knots and 3-manifolds is introduced. Combining the results of th…
On spaces of connected graphs II: Relations in the algebra Lambda
Jan Kneissler
The graded algebra Lambda defined by Pierre Vogel is of general interest in the theory of finite-type invariants of knots and of 3-manifolds because it acts on the corresponding sp…
On spaces of connected graphs I: Properties of Ladders
Jan Kneissler
We examine spaces of connected tri-/univalent graphs subject to local relations which are motivated by the theory of Vassiliev invariants. It is shown that the behaviour of ladder-…
The number of primitive Vassiliev invariants up to degree 12
Jan A. Kneissler
We present algorithms giving upper and lower bounds for the number of independent primitive rational Vassiliev invariants of degree m modulo those of degree m-1. The values have be…
Woven Braids and their Closures
Jan A. Kneissler
A special class of braids, called woven, is introduced and it is shown that every conjugation class of the braid group contains woven braids. In consequence, links can be presented…