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Quantum Symmetry Seminar - Ben-Michael Kohli

Ben
Tue, February 3, 2026
1:50 pm - 3:00 pm
TBA

Ben-Michael Kohli
Université de Genève

Title
Enhancing the Seifert Inequality for the 3-Genus of a Knot Using (Colored) Links-Gould Polynomials

Abstract
I will show how the Links-Gould invariant of links, a quantum invariant associated with $U_q \mathfrak{sl}(2|1)$, provides lower bounds for the 3-genus of a knot that improve upon the classical Seifert bound derived from the Alexander polynomial. If time permits, I will also discuss how the Links-Gould polynomials of knots $LG^{(n)}$, colored with a $4n$-dimensional irreducible representation of $U_q \mathfrak{sl}(2|1)$, appear to detect the 3-genus already for $n=2$. This talk is based on several works involving subsets of Stavros Garoufalidis, Matthew Harper, Rinat Kashaev, Jiebo Song, Guillaume Tahar, and Emmanuel Wagner.

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