A presentation for Hilden's subgroup of the braid group

Details A presentation for Hilden's subgroup of the braid group A presentation for Hilden's subgroup of the braid group

2007-06-29

arxiv.org/abs/0706.4421v2

Math. Res. Lett., 15(6), 2008, 1277-1293

Mathematics

Group Theory

minor changes, 17 pages

Scientific paper

Consider the unit ball, B = D x [0,1], containing n unknotted arcs a_1, ...
a_n such that the boundary of each a_i lies in D x {0}. We give a finite
presentation for the mapping class group of B fixing the arcs {a_1, ..., a_n}
setwise and fixing D x {1} pointwise. This presentation is calculated using the
action of this group on a simply-connected complex.

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