L. Paris

activity

19992004

most citedIrreducible Coxeter groups

21 citations · 37 across the 8 of their papers we have counts for

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4 papers · 1 filter

math.GT2003

Birman's conjecture for singular braids on closed surfaces

Luis Paris

Let $M$ be a closed oriented surface of genus $g \geq 1$ , let $B_{n} (M)$ be the braid group of $M$ on $n$ strings, and let $S B_{n} (M)$ be the corresponding singular braid monoid. Our pur…

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…

math.GT1999

Geometric subgroups of mapping class groups

L. Paris, D. Rolfsen

This paper is a study of the subgroups of the mapping class groups of Riemann surfaces, called "geometric" subgroups, corresponding to the inclusion of subsurfaces. Our analysis in…

math.GT1999

Actions and irreducible representations of the mapping class group

L. Paris

We prove in this paper that the action of the mapping class group on the complex of curves has noncommensurable stabilizers. Following a method due to Burger and de la Harpe, this…