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math.GT2000
Ordering pure braid groups on closed surfaces
Juan Gonzalez-Meneses
We prove that the pure braid groups on closed, orientable surfaces are bi-orderable, and that the pure braid groups on closed, non-orientable surfaces have generalized torsion, thu…
math.GT2000
Vassiliev invariants for braids on surfaces
Juan Gonzalez-Meneses, Luis Paris
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…