109 citations · 467 across the 43 of their papers we have counts for
4 papers · 2 filters
Bridge numbers for virtual and welded knots
Hans U. Boden, Anne Isabel Gaudreau
Using Gauss diagrams, one can define the virtual bridge number and the welded bridge number invariants of virtual and welded knots with ${\rm wb}(K) \l…
The SL(2,C) Casson invariant for knots and the -polynomial
Hans U. Boden, Cynthia L. Curtis
In this paper, we extend the definition of the Casson invariant to arbitrary knots in integral homology 3-spheres and relate it to the -degree of the $\wideha…
Non-triviality of the -degree of the -polynomial
Hans U. Boden
This note gives a proof that the -polynomial of any nontrivial knot in has nontrivial -degree.
Alexander invariants for virtual knots
Hans U. Boden, Emily Dies, Anne Isabel Gaudreau +3
Given a virtual knot , we construct a group called the virtual knot group, and we use the elementary ideals of to define invariants of called the virtual Alexa…