6533b7d6fe1ef96bd1266643

RESEARCH PRODUCT

Vassiliev invariants for braids on surfaces

Luis ParisJuan González-meneses

subject

Surface (mathematics)Fundamental groupLow-dimensional topologyGeneral MathematicsBraid groupGroup Theory (math.GR)braidMathematics::Algebraic TopologyCombinatoricsMathematics - Geometric TopologyMathematics::Group TheoryMathematics::Category TheoryMathematics::Quantum Algebra20F36 (Primary) 57M2757N05 (Secondary)BraidFOS: MathematicssurfaceMathematicsApplied MathematicsGeometric Topology (math.GT)Mathematics::Geometric TopologyFinite type invariantVassiliev Invariantfinite type invariantIsomorphismMathematics - Group TheoryGroup theory

description

We show that Vassiliev invariants separate braids on a closed oriented surface, and we exhibit an universal Vassiliev invariant for these braids in terms of chord diagrams labeled by elements of the fundamental group of the considered surface.

yearjournalcountryeditionlanguage
2000-06-02
https://idus.us.es/xmlui/handle/11441/42294