9 citations · 30 across the 9 of their papers we have counts for
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math.GT2014★ 5 cited
Combinatorial cohomology of the space of long knots
Arnaud Mortier
The motivation of this work is to define cohomology classes in the space of knots that are both easy to find and to evaluate, by reducing the problem to simple linear algebra. We a…
math.GT2014★ 4 cited
Virtual knot theory on a group
Arnaud Mortier
Given a group endowed with a Z/2-valued morphism we associate a Gauss diagram theory, and show that for a particular choice of the group these diagrams encode faithfully virtual kn…
math.GT2014★ 4 cited
Finite-type 1-cocycles of knots given by Polyak-Viro formulas
Arnaud Mortier
We present a new method to produce simple formulas for 1-cocycles of knots over the integers, inspired by Polyak-Viro's formulas for finite-type knot invariants. We conjecture that…