22–25 Sept 2025
Palazzo del Castelletto
Europe/Rome timezone

The sl(n) polynomials for strongly invertible links

24 Sept 2025, 14:00
1h
Aula Dini (Palazzo del Castelletto)

Aula Dini

Palazzo del Castelletto

Via del Castelletto, 17/1, 56126 Pisa PI

Speaker

Dr Carlo Collari (Università di Pisa)

Description

Strongly invertible links are collections of disjoint oriented circles in the tri-dimensional space together with an involution preserving the components and reversing the orientation. In this talk we will introduce a family of invariants of strongly invertible links which are analogues of the sl(n) polynomials for links; in particular, they are Laurent polynomials in the variable q and are parameterised by a positive natural number. After a brief discussion on the effectiveness of these invariants, we will give a characterisation of them in terms of skein relations. We will conclude with some applications and a comparison with other known invariants of strongly invertible links.

Primary author

Dr Carlo Collari (Università di Pisa)

Presentation materials

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