English

Chiral covers of hypermaps

Combinatorics 2013-11-19 v1 Complex Variables Group Theory

Abstract

Generalising a conjecture of Singerman, it is shown that there exist orientably regular chiral hypermaps of every non-spherical type. The proof uses the representation theory of automorphism groups acting on homology and on various spaces of differentials. Some examples are given.

Keywords

Cite

@article{arxiv.1311.4355,
  title  = {Chiral covers of hypermaps},
  author = {Gareth A. Jones},
  journal= {arXiv preprint arXiv:1311.4355},
  year   = {2013}
}

Comments

Six pages

R2 v1 2026-06-22T02:09:29.491Z