Genus bounds from unrolled quantum groups at roots of unity

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Analysis reveals genus bounds using quantum groups in knots, suggesting new insights on genus structures.

Link polynomials provide lower bounds to Seifert genus, showing significant implications for knot theory.
Key results demonstrate how small quantum groups relate to invariants in complex Lie algebras and quantum topology.
Observational analysis including polynomial simples confirms genus bounds for the Kinoshita–Terasaka and Conway knots.
Potential applications suggest that equivariantizations can provide deeper understanding of quantum group structures.

Neumann et al. (2025) studied this question.

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