no. 2
Fixed points in smooth Calogero–Moser spaces
[Points fixes dans les espaces de Calogero–Moser lisses]
Bonnafé, Cédric1 ; Maksimau, Ruslan1
1 Institut Montpelliérain Alexander Grothendieck (CNRS: UMR 5149), Université Montpellier 2, Case Courrier 051, Place Eugène Bataillon, 34095 Montpellier Cedex (France)
Annales de l'Institut Fourier, Tome 71 (2021) no. 2, pp. 643-678.

Nous montrons que toute composante irréductible de la variété des points fixes sous l’action de μ d dans un espace de Calogero–Moser lisse est isomorphe à un espace de Calogero–Moser associé à un autre groupe de réflexions.

We prove that every irreducible component of the fixed point variety under the action of μ d in a smooth Calogero–Moser space is isomorphic to a Calogero–Moser space associated with another reflection group.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/aif.3404
Classification : 20F55, 16G20
Keywords: reflection groups, Calogero–Moser spaces, fixed points, quiver varieties
Mot clés : groupes de réflexions, espaces de Calogero–Moser, points fixes, variétés de carquois

Bonnafé, Cédric 1 ; Maksimau, Ruslan 1

1 Institut Montpelliérain Alexander Grothendieck (CNRS: UMR 5149), Université Montpellier 2, Case Courrier 051, Place Eugène Bataillon, 34095 Montpellier Cedex (France)
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Fixed points in smooth {Calogero{\textendash}Moser} spaces},
     journal = {Annales de l'Institut Fourier},
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Bonnafé, Cédric; Maksimau, Ruslan. Fixed points in smooth Calogero–Moser spaces. Annales de l'Institut Fourier, Tome 71 (2021) no. 2, pp. 643-678. doi : 10.5802/aif.3404. https://aif.centre-mersenne.org/articles/10.5802/aif.3404/

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