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Dunkl connections on ℂ 2 and spherical metrics
Martin de Borbon1 ; Dmitri Panov2
1 The University of Texas at Dallas, Department of Mathematics, Richardson, TX 75080, United States
2 King’s College London, Department of Mathematics, Strand, London, WC2R 2LS, United Kingdom
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 33 (2024) no. 4, pp. 937-979

We show that general Dunkl connections on 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.

Nous démontrons que les connexions Dunkl génériques sur ℂ 2 ne préservent pas les formes hermitiennes non nulles. Notre preuve repose sur une compréhension récente de la topologie non triviale de l’espace de modules des tores sphériques avec un point conique.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/afst.1791

Martin de Borbon 1 ; Dmitri Panov 2

1 The University of Texas at Dallas, Department of Mathematics, Richardson, TX 75080, United States
2 King’s College London, Department of Mathematics, Strand, London, WC2R 2LS, United Kingdom
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Dunkl connections on $\mathbb{C}^2$ and spherical metrics},
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Martin de Borbon; Dmitri Panov. Dunkl connections on $\mathbb{C}^2$ and spherical metrics. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 33 (2024) no. 4, pp. 937-979. doi: 10.5802/afst.1791

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