New invariants for surfaces
نویسندگان
چکیده
We define a new invariant of surfaces, stable on connected components of moduli spaces of surfaces. The new invariant comes from the polycyclic structure of the fundamental group of the complement of a branch curve. We compute this invariant for a few examples. Braid monodromy factorizations related to curves is a first step in computing the fundamental group of the complement of the curve, and thus we indicate the possibility of using braid monodromy factorizations of branch curves as an invariant of a surface.
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