Dunkl connections on $\mathbb{C}^2$ and spherical metrics

Martin de Borbon; Dmitri Panov

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arXiv · 2209.05958

Dunkl connections on $\mathbb{C}^2$ and spherical metrics

Martin de Borbon·Dmitri Panov

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Abstract

We show that general Dunkl connections on $\mathbb{C}^2$ 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.

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BibTeX RIS

Martin de Borbon, Dmitri Panov. 2022-09-13. Dunkl connections on $\mathbb{C}^2$ and spherical metrics. https://arxiv.org/abs/2209.05958

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