Full twists factorization formula for double number of strings
代数几何
2007-05-23 v1 辛几何
摘要
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.
引用
@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}
}
备注
39 pages