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A presentation for Hilden's subgroup of the braid group
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Tawn, Stephen (2008) A presentation for Hilden's subgroup of the braid group. Mathematical Research Letters, Vol.15 (No.6). pp. 1277-1293. ISSN 1073-2780.
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Abstract
Consider the unit ball, B = Dx[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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Group theory, Braid theory | ||||
Journal or Publication Title: | Mathematical Research Letters | ||||
Publisher: | Mathematical Publishing | ||||
ISSN: | 1073-2780 | ||||
Official Date: | September 2008 | ||||
Dates: |
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Volume: | Vol.15 | ||||
Number: | No.6 | ||||
Number of Pages: | 17 | ||||
Page Range: | pp. 1277-1293 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Version or Related Resource: | Tawn, S. (2011). Erratum : a presentation for Hilden's subgroup of the Braid group. Mathematical Research Letters, 18(1), pp. 175-180. http://wrap.warwick.ac.uk/id/eprint/41764 | ||||
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