A Special Subgroup of the Surface Braid Group
| dc.creator | Copeland, D. Jeremy | |
| dc.date | 2004-09-24 | |
| dc.date.accessioned | 2026-07-07T05:12:31Z | |
| dc.date.available | 2026-07-07T05:12:31Z | |
| dc.description | 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 $π_1(M^{[n]})\to H_1(M)$ is generated by transpositions for sufficiently large $n$. Specifically, we treat $M$ as a polyhedron, and the edge set of $M$ generates this group. | |
| dc.description | 9 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0409461 | |
| dc.identifier | http://arxiv.org/abs/math/0409461 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72605 | |
| dc.subject | Group Theory | |
| dc.subject | 20F36 20F05 | |
| dc.title | A Special Subgroup of the Surface Braid Group | |
| dc.type | text |