Standard and Weierstrass spin groups on hyperelliptic Riemann surfaces
Complex Variables
2013-10-17 v1 Combinatorics
Abstract
We show that at any standard or Weierstrass point P on a hyperelliptic Riemann surface S equipped with a nonsingular even spin structure, we may attach a spin group G(P) in a natural way. All such spin groups are isomorphic to each other and to the alternating group A(g)<S(g). Moreover, for any two vertices of the same spin graph we construct a natural, unique isomorphism between the corresponding, mutually conjugate spin groups.
Cite
@article{arxiv.1310.4205,
title = {Standard and Weierstrass spin groups on hyperelliptic Riemann surfaces},
author = {K. M. Bugajska},
journal= {arXiv preprint arXiv:1310.4205},
year = {2013}
}
Comments
17 pages, 7 figures