Stratification of singular hyperkähler quotients

Hyperkähler quotients by non-free actions are typically singular, but are nevertheless partitioned into smooth hyperkähler manifolds. We show that these partitions are topological stratifications, in a strong sense. We also endow the quotients with global Poisson structures which recover the hyperkä...

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Bibliographic Details
Main Author: Mayrand Maxence
Format: Article
Language:English
Published: De Gruyter 2022-09-01
Series:Complex Manifolds
Subjects:
Online Access:https://doi.org/10.1515/coma-2021-0140