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Exact sequences, lower central series and representations of surface braid groups

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arxiv 1106.4982 v1 pith:ROBCQUQI submitted 2011-06-24 math.GT math.GR

classification math.GTmath.GR
keywords braidgroupssurfacecentralexactlowerrepresentationssequences
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We consider exact sequences and lower central series of surface braid groups and we explain how they can prove to be useful for obtaining representations for surface braid groups. In particular, using a completely algebraic framework, we describe the notion of extension of a representation introduced and studied recently by An and Ko and independently by Blanchet.

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  1. On sections of configurations of points on orientable surfaces

    math.GT 2024-11 conditional novelty 5.0 of 10

    For orientable surfaces of genus at least one, adding n points continuously to an m-point configuration is possible only if n is a multiple of m plus twice the genus minus two when m is at least two; for m equal to on...

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