D. Bessis

activity

20002004

most citedNon-crossing partitions of type (e,e,r)

10 citations · 24 across the 6 of their papers we have counts for

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8 papers · 1 filter

math.GR2004★ 10 cited

Non-crossing partitions of type (e,e,r)

David Bessis, Ruth Corran

We investigate a new lattice of generalised non-crossing partitions, constructed using the geometry of the complex reflection group $G (e, e, r)$ . For the particular case $e = 2$ (resp.…

math.GR2004

A dual braid monoid for the free group

David Bessis

We construct a quasi-Garside monoid structure for the free group. This monoid should be thought of as a dual braid monoid for the free group, generalising the constructions by Birm…

math.GR2003

Explicit presentations for exceptional braid groups

David Bessis, Jean Michel

We give presentations for the braid groups associated with the complex reflection groups $G_{24}$ and $G_{27}$ . For the cases of $G_{29}$ , $G_{31}$ , $G_{33}$ and $G_{34}$ , we give…

math.GR2003★ 7 cited

Garside structure for the braid group of G(e,e,r)

David Bessis, Ruth Corran

We give a new presentation of the braid group $B$ of the complex reflection group $G (e, e, r)$ which is positive and homogeneous, and for which the generators map to reflections in t…

math.GR2003

Variations on Van Kampen's method

David Bessis

We give a detailed account of the classical Van Kampen method for computing presentations of fundamental groups of complements of complex algebraic curves, and of a variant of this…

math.GR2001

K(π, 1)'s for Artin groups of finite type

T. Brady, C. Watt

We construct K(π, 1)'s for Artin groups of type C_n and D_n.