Geodesic
A polynomial invariant for plane curve complements: Krammer polynomials
Journal of Singularities, Tome 17 (2018), pp. 58-69

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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.
DOI : 10.5427/jsing.2018.17c
Classification : 14H30, 20F36, 14H45 
@article{10_5427_jsing_2018_17c,
     author = {Mehmet Akta\c{s} and Serdar Cellat, and Hubeyb Gurdogan},
     title = {A polynomial invariant for plane curve complements: {Krammer} polynomials},
     journal = {Journal of Singularities},
     pages = {58--69},
     publisher = {mathdoc},
     volume = {17},
     year = {2018},
     doi = {10.5427/jsing.2018.17c},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2018.17c/}
}
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Mehmet Aktaş; Serdar Cellat,; Hubeyb Gurdogan. A polynomial invariant for plane curve complements: Krammer polynomials. Journal of Singularities, Tome 17 (2018), pp. 58-69. doi: 10.5427/jsing.2018.17c

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