Combinatorial Algebraic Topology & Applications IV

When welded knot theory becomes useful for topology

Not scheduled

1h

Aula Dini (Palazzo del Castelletto)

Speaker

Jean- Baptiste Meilhan (Université Grenoble Alpes)

Description

Welded knot theory is a combinatorial and diagrammatic extension of classical knot theory. It arises naturally as a quotient of virtual knot theory, introduced in the early 2000s by Kauffman and by Goussarov–Polyak–Viro.
The aim of this talk is to present several results showing that welded knot theory turns out to be a relevant and effective tool for topology — not only in knot theory, but also in the study of knotted surfaces in 4-space.
This talk assumes no specialized background in topology.