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arXiv · 1707.05585

A polynomial invariant for plane curve complements: Krammer polynomials

Mehmet Emin Aktas·Serdar Cellat·Hubeyb Gurdogan
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Abstract

We use the Krammer representation of the braid group in Libgober's invariant and construct a new multivariate polynomial invariant for curve complements: Krammer polynomial. We show that the Krammer polynomial of an essential braid is equal to zero. We also compute the Krammer polynomials of some certain n-gonal curves.

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Mehmet Emin Aktas, Serdar Cellat, Hubeyb Gurdogan. 2017-07-18. A polynomial invariant for plane curve complements: Krammer polynomials. https://arxiv.org/abs/1707.05585

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