Links arising from braid monodromy factorizations

Author:

Amram Meirav12,Cohen Moshe13,Teicher Mina14

Affiliation:

1. Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900, Israel

2. Shamoon College of Engineering, Bialik/Basel Sts., Beer-Sheva 84100, Israel

3. Department of Mathematics, Technion — Israel Institute of Technology, Haifa 32000, Israel

4. School of Engineering, New York University Polytechnic, 6 Metro Tech Center, Brooklyn, NY 11201, USA

Abstract

We investigate the local contribution of the braid monodromy factorization in the context of the links obtained by the closure of these braids. We consider plane curves which are arrangements of lines and conics as well as some algebraic surfaces, where some of the former occur as local configurations in degenerated and regenerated surfaces in the latter. In particular, we focus on degenerations which involve intersection points of multiplicity two and three. We demonstrate when the same links arise even when the local arrangements are different.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The fundamental groups of Galois covers of planar Zappatic deformations of type Ek;International Journal of Algebra and Computation;2019-08-26

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