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Linear Representations of the Braid Groups of Some Manifolds

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Abstract

In this paper we prove that the braid group B n(S 2) of 2-sphere, mapping class group M(0,n) of the n-punctured 2-sphere and the braid group B 3(P 2) of the projective plane are linear.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, 630090, Novosibirsk, Russia

    V. G. Bardakov

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  1. V. G. Bardakov
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Correspondence to V. G. Bardakov.

Additional information

Partially supported by the Russian Foundation for Basic Research (grant number 02-01-01118).

Mathematics Subject Classifications (2000)

20F28, 20F36, 20G35.

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Bardakov, V.G. Linear Representations of the Braid Groups of Some Manifolds. Acta Appl Math 85, 41–48 (2005). https://doi.org/10.1007/s10440-004-5584-6

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  • DOI: https://doi.org/10.1007/s10440-004-5584-6

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