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RESEARCH PRODUCT
Generalized Braid Groups and Mapping Class Gropus
Catherine Labruèresubject
CombinatoricsAlgebra and Number TheoryConjectureBraid groupLawrence–Krammer representationHomomorphismBraid theoryInjective functionMapping class groupGraphMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-10-01 | Journal of Knot Theory and Its Ramifications |