A topological model for the coloured Jones polynomials

Cristina Ana-Maria Anghel

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arXiv · 1712.04873

A topological model for the coloured Jones polynomials

Cristina Ana-Maria Anghel

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Abstract

In this paper we will present a homological model for Coloured Jones Polynomials. For each colour $N \in \mathbb {N}$, we will describe the invariant $J_N(L,q)$ as a graded intersection pairing of certain homology classes in a covering of the configuration space on the punctured disk. This construction is based on the Lawrence representation and a result due to Kohno that relates quantum representations and homological representations of the braid groups.

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BibTeX RIS

Cristina Ana-Maria Anghel. 2017-12-13. A topological model for the coloured Jones polynomials. https://arxiv.org/abs/1712.04873

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