Kauffman bracket skein module of the connected sum of two solid tori

Rhea Palak Bakshi; Thang T. Q. Lê; Józef H. Przytycki

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arXiv · 2604.09971

Kauffman bracket skein module of the connected sum of two solid tori

Rhea Palak Bakshi·Thang T. Q. Lê·Józef H. Przytycki

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Abstract

We determine the structure of the Kauffman bracket skein module of the connected sum of two genus one handlebodies over the ring of Laurent polynomials $\mathbb Z[q^{\pm 1}]$, thereby proving a conjecture posed by the first and third authors. Our results lay the groundwork for computing the Kauffman bracket skein module of arbitrary connected sums over the ring $\mathbb Z[q^{\pm 1}]$.

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Rhea Palak Bakshi, Thang T. Q. Lê, Józef H. Przytycki. 2026-04-11. Kauffman bracket skein module of the connected sum of two solid tori. https://arxiv.org/abs/2604.09971

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