Search results for "Lawrence–Krammer representation"

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Generalized Braid Groups and Mapping Class Gropus

1997

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.

CombinatoricsAlgebra and Number TheoryConjectureBraid groupLawrence–Krammer representationHomomorphismBraid theoryInjective functionMapping class groupGraphMathematicsJournal of Knot Theory and Its Ramifications
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