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Effective invariants of braid monodromy and topology of plane curves

Enrique Artal·Jorge Carmona·Jose Ignacio Cogolludo
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Abstract

In this paper we construct effective invariants for braid monodromy of affine curves. We also prove that, for some curves, braid monodromy determines their topology. We apply this result to find a pair of curves with conjugate equations in a number field but which do not admit any orientation-preserving homeomorphism.

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Enrique Artal, Jorge Carmona, Jose Ignacio Cogolludo. 2001-05-18. Effective invariants of braid monodromy and topology of plane curves. https://doi.org/10.1090/s0002-9947-06-03881-5

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