Torus actions on symplectic orbi-spaces

Tanya Schmah*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Which 2n-dimensional orbi-spaces have effective symplectic k-torus actions? As shown by Lerman and Tolman (1997) and Watson (1997), this question reduces to that of characterizing the finite subgroups of centralizers of tori in the real symplectic group Sp(2n,ℝ). We resolve this question, and generalize our method to a calculation of the centralizers of all tori in Sp(2n,ℝ).

    Original languageEnglish
    Pages (from-to)1169-1177
    Number of pages9
    JournalProceedings of the American Mathematical Society
    Volume129
    Issue number4
    Publication statusPublished - 2001

    Keywords

    • Centralizers of tori
    • Hamiltonian torus actions
    • Symplectic orbifolds

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