Dihedral monodromy of cone spherical metrics
Geometric Topology
2023-06-06 v2 Differential Geometry
Metric Geometry
Abstract
Among metrics of constant positive curvature on a punctured compact Riemann surface with conical singularities at the punctures, dihedral monodromy means that the action of the monodromy group globally preserves a pair of antipodal points. Using recent results about local invariants of quadratic differentials, we give a complete characterization of the set of conical angles realized by some cone spherical metric with dihedral monodromy.
Keywords
Cite
@article{arxiv.2112.00594,
title = {Dihedral monodromy of cone spherical metrics},
author = {Quentin Gendron and Guillaume Tahar},
journal= {arXiv preprint arXiv:2112.00594},
year = {2023}
}
Comments
21 pages, to appear in "Illinois Journal of Mathematics"