Generalized Braid Groups and Mapping Class Gropus-Reference-Cited by-同舟云学术

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Generalized Braid Groups and Mapping Class Gropus

Published:1997-10 Issue:05 Volume:06 Page:715-726
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Labruere C.¹

Affiliation:

1. Université de Bourgogne, Laboratoire de Topologie, 9 avenue Alain Savary, BP.400 - 21011 DIJON Cedex, France

Abstract

Given a chord system of D2, we associate a generalized braid group, a surface and a homomorphism from this braid group to the mapping class group of the surface. We disprove a conjecture stated in an article by Perron and Vannier by showing that generally this homomorphism is not injective.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021821659700039X

Cited by 8 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. Curves intersecting in a circuit pattern;Topology and its Applications;2023-06

2. On symplectic stabilisations and mapping classes;Bulletin of the London Mathematical Society;2022-03-30

3. Vanishing cycles, plane curve singularities and framed mapping class groups;Geometry & Topology;2021-11-30

4. Affine braid groups: a better platform than braid groups for cryptology?;Applicable Algebra in Engineering, Communication and Computing;2011-11-29

5. A finite presentation of the mapping class group of a punctured surface;Topology;2001-07

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