English

Signed Real Hurwitz numbers

Algebraic Geometry 2023-11-28 v1 Combinatorics

Abstract

In this paper, we enumerate with signs the holomorphic maps between Real Riemann surfaces. We relate the signs and the numbers obtained to the Real Gromov-Witten theory of the target. For a finite group GG with a non-trivial morphism to {±1}\{ \pm 1 \}, we present a signed count of principal GG-bundles yielding a Klein Topological Quantum Field Theory.

Keywords

Cite

@article{arxiv.2311.16032,
  title  = {Signed Real Hurwitz numbers},
  author = {Thomas Guidoni},
  journal= {arXiv preprint arXiv:2311.16032},
  year   = {2023}
}
R2 v1 2026-06-28T13:32:59.828Z