Torus actions on symplectic orbi-spaces

Tanya Schmah

Torus actions on symplectic orbi-spaces

Tanya Schmah^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Pages (from-to)	1169-1177
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	129
Issue number	4
Publication status	Published - 2001

Keywords

Centralizers of tori
Hamiltonian torus actions
Symplectic orbifolds

Cite this

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title = "Torus actions on symplectic orbi-spaces",

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).",

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N2 - 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).

AB - 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).

KW - Centralizers of tori

KW - Hamiltonian torus actions

KW - Symplectic orbifolds

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M3 - Article

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 4

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Torus actions on symplectic orbi-spaces

Abstract

Keywords

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