Dunkl connections on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>ℂ</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> and spherical metrics
We show that general Dunkl connections on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>ℂ</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> do not preserve non-zero Hermitian forms. Our proof relies on recent understanding of the non-trivial topology of the moduli space of spherical tori with one conical point.
Authors
- Martin de Borbon (ORCID: https://orcid.org/0000-0002-9078-4624)
- Dmitri Panov (ORCID: https://orcid.org/0000-0002-7301-6682)
Publication Details
- Journal
- Annales de la faculté des sciences de Toulouse Mathématiques
- Published
- 2025-02-03
- DOI
- https://doi.org/10.5802/afst.1791
- Primary Topic
- Advanced Differential Geometry Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Engineering and Physical Sciences Research Council