100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Akira Yasuhara

Burnside groups and n-moves for links
Vendredi, 7 Septembre, 2018 - 10:30
Résumé : 

Let n be a positive integer. M. K. Dabkowski and J. H. Przytycki introduced the nth Burnside group of links which is preserved by n-moves, and proved that for any odd prime p there exist links which are not equivalent to trivial links up to p-moves by using their p-th Burnside groups.  This gives counterexamples for the Montesinos-Nakanishi 3-move conjecture.  In general, it is hard to distinguish p-th Burnside groups of a given link and a trivial link. We give a necessary condition for which p-th Burnside groups are isomorphic to those of trivial links. The necessary condition gives us an efficient way to distinguish p-th Burnside groups of a given link and a trivial link. As an application, we show that there exist links, each of which is not equivalent to a trivial link up to p-moves for any odd prime p.

This is a joint work with Haruko A. Miyazawa (Tsuda University) and Kodai Wada (Waseda University).

Institution de l'orateur : 
Waseda University
Thème de recherche : 
Topologie
Salle : 
14
logo uga logo cnrs