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Brunnian braids on
surfaces
Valery G Bardakov, Roman Mikhailov, Vladimir V Vershinin and Jie Wu |
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Algebraic & Geometric Topology 12 (2012) 1607–1648
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Abstract |
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We determine a set of generators for the Brunnian braids on a general surface for or . For the case or , a set of generators for the Brunnian braids on is given by our generating set together with the homotopy groups of a –sphere. |
Keywords
braid group, Brunnian braid, homotopy group, symmetric
commutator subgroup
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Mathematical Subject Classification 2010
Primary: 57M07, 57M99
Secondary: 20F36, 55Q40
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References |
Publication
Received: 18 December 2011
Revised: 6 May 2012
Accepted: 11 May 2012
Published: 25 July 2012
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Authors |
| Valery G Bardakov | |
| Sobolev Institute of
Mathematics Novosibirsk 630090 Russia |
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| Roman Mikhailov | |
| Steklov Mathematical Institute Gubkina 8 Moscow 119991 Russia |
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| Vladimir V Vershinin | |
| Département des Sciences
Mathématiques Université Montpellier II Place Eugène Bataillon, 3 34095 Montpellier cedex 5 France (and Sobolev Institute of Mathematics) |
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| Jie Wu | |
| Department of Mathematics National University of Singapore 2 Science Drive 2 Singapore 117542 Singapore |
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| http://www.math.nus.edu.sg/~matwujie | |
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