Links arising from braid monodromy factorizations

Meirav Amram; Moshe Cohen; Mina Teicher

doi:10.1142/S0218216514500096

Links arising from braid monodromy factorizations

Meirav Amram, Moshe Cohen, Mina Teicher

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	1450010
Journal	Journal of Knot Theory and its Ramifications
Volume	23
Issue number	2
DOIs	https://doi.org/10.1142/S0218216514500096
State	Published - Feb 2014

Bibliographical note

Funding Information:
This work was partially supported by the Emmy Noether Research Institute for Mathematics and the Minerva Foundation (Germany), the EU network ASSYAT, and the Oswald Veblen Fund of the Institute for Advanced Study in Princeton. We are grateful to the referee for helpful comments and suggestions.

Funding

This work was partially supported by the Emmy Noether Research Institute for Mathematics and the Minerva Foundation (Germany), the EU network ASSYAT, and the Oswald Veblen Fund of the Institute for Advanced Study in Princeton. We are grateful to the referee for helpful comments and suggestions.

Funders	Funder number
Emmy Noether Research Institute for Mathematics
Oswald Veblen Fund
Institute for Advanced Study
European Commission
Minerva Foundation

Keywords

Knot
Singularity

Access to Document

10.1142/S0218216514500096

Cite this

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Links arising from braid monodromy factorizations

Abstract

Bibliographical note

Funding

Keywords

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