A Special Subgroup of the Surface Braid Group

D. Jeremy Copeland

A Special Subgroup of the Surface Braid Group

群论 2007-05-23 v1

作者: D. Jeremy Copeland

摘要

Herein we prove that if $M$ is a compact oriented Riemann surface of genus $g$ , and $M^{[n]}$ is the classifying space of $n$ distinct, unordered points on $M$ , then the kernel of the map $\pi_1(M^{[n]})\to H_1(M)$ is generated by transpositions for sufficiently large $n$ . Specifically, we treat $M$ as a polyhedron, and the edge set of $M$ generates this group.

关键词

mapping class groups of surfaces mapping class groups braid groups

引用

@article{arxiv.math/0409461,
  title  = {A Special Subgroup of the Surface Braid Group},
  author = {D. Jeremy Copeland},
  journal= {arXiv preprint arXiv:math/0409461},
  year   = {2007}
}

备注

9 pages, 2 figures

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