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arXiv · 1701.03631

Braid groups in handlebodies and corresponding Hecke algebras

Valetiy G. Bardakov
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Abstract

In this paper we study the kernel of the homomorphism $B_{g,n} \to B_n$ of the braid group $B_{g,n}$ in the handlebody $\mathcal{H}_g$ to the braid group $B_n$. We prove that this kernel is a semi-direct product of free groups. Also, we introduce an algebra $H_{g,n}(q)$, which is some analog of the Hecke algebra $H_n(q)$, constructed by the braid group $B_n$.

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Valetiy G. Bardakov. 2017-01-13. Braid groups in handlebodies and corresponding Hecke algebras. https://arxiv.org/abs/1701.03631

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