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arXiv · 1311.2849

The Alexander polynomial as an intersection of two cycles in a symmetric power

Nikita Kalinin
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Abstract

We consider a braid $β$ which acts on a punctured plane. Then we construct a local system on this plane and find a homology cicle $D$ in its symmetric power such that $D\cdot β(D)$ coincides with the Alexander polynomial of the plate closure of $β$.

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Nikita Kalinin. 2015-07-24. The Alexander polynomial as an intersection of two cycles in a symmetric power. https://doi.org/10.1142/s0218216515500613

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