6 citations · 6 across the 3 of their papers we have counts for
4 papers
Khovanov-Rozansky -homology for periodic links
Maciej Borodzik, Wojciech Politarczyk, Ramazan Yozgyur
For an -periodic link , we show that the Khovanov-Rozansky -homology carries an action of the group . As an example of applications, we prove a…
Twisted Blanchfield pairings and twisted signatures I: Algebraic background
Maciej Borodzik, Anthony Conway, Wojciech Politarczyk
This is the first paper in a series of three devoted to studying twisted linking forms of knots and three-manifolds. Its function is to provide the algebraic foundations for the ne…
Twisted Blanchfield pairings and twisted signatures III: Applications
Maciej Borodzik, Anthony Conway, Wojciech Politarczyk
This paper describes how to compute algorithmically certain twisted signature invariants of a knot using twisted Blanchfield forms. An illustration of the algorithm is implemen…
Twisted Blanchfield pairings and twisted signatures II: Relation to Casson-Gordon invariants
Maciej Borodzik, Anthony Conway, Wojciech Politarczyk
This paper studies twisted signature invariants and twisted linking forms, with a view towards obstructions to knot concordance. Given a knot and a representation of the kn…