Full twists factorization formula for double number of strings
Algebraic Geometry
2007-05-23 v1 Symplectic Geometry
Abstract
A formula for factorizations of the full twist in the braid group depending on any four factorizations of the full twist in is given. Applying this formula, a symplectic 4-manifold and two isotopic generic coverings , branched, respectively, along cuspidal Hurwitz curves (without negative nodes) having different braid monodromy factorization types, are constructed. The class of the fundamental groups of the complements of the affine plane Hurwitz curves is described in terms of generators and defining relations.
Cite
@article{arxiv.math/0308178,
title = {Full twists factorization formula for double number of strings},
author = {Vik. S. Kulikov},
journal= {arXiv preprint arXiv:math/0308178},
year = {2007}
}
Comments
39 pages