Generalized complex Hamiltonian torus actions: Examples and constraints

Thomas Baird; Yi Lin

doi:10.1112/jlms/jdp079

Generalized complex Hamiltonian torus actions: Examples and constraints

Thomas Baird
, Yi Lin

Mathematical Sciences

University of Oxford
Georgia Southern University

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

Abstract

Consider an effective Hamiltonian torus action T × M → M on a topologically twisted, generalized complex manifold M of dimension 2n. We prove that dim(T) ≤ n - 2 and that the topological twisting survives Hamiltonian reduction. We then construct a large new class of such actions satisfying dim(T) = n - 2, using a surgery procedure on toric manifolds.

Original language	English
Pages (from-to)	573-588
Number of pages	16
Journal	Journal of the London Mathematical Society
Volume	81
Issue number	3
DOIs	https://doi.org/10.1112/jlms/jdp079
State	Published - Jun 2010

Scopus Subject Areas

General Mathematics

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title = "Generalized complex Hamiltonian torus actions: Examples and constraints",

abstract = "Consider an effective Hamiltonian torus action T × M → M on a topologically twisted, generalized complex manifold M of dimension 2n. We prove that dim(T) ≤ n - 2 and that the topological twisting survives Hamiltonian reduction. We then construct a large new class of such actions satisfying dim(T) = n - 2, using a surgery procedure on toric manifolds.",

author = "Thomas Baird and Yi Lin",

year = "2010",

month = jun,

doi = "10.1112/jlms/jdp079",

language = "English",

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T2 - Examples and constraints

AU - Baird, Thomas

AU - Lin, Yi

PY - 2010/6

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N2 - Consider an effective Hamiltonian torus action T × M → M on a topologically twisted, generalized complex manifold M of dimension 2n. We prove that dim(T) ≤ n - 2 and that the topological twisting survives Hamiltonian reduction. We then construct a large new class of such actions satisfying dim(T) = n - 2, using a surgery procedure on toric manifolds.

AB - Consider an effective Hamiltonian torus action T × M → M on a topologically twisted, generalized complex manifold M of dimension 2n. We prove that dim(T) ≤ n - 2 and that the topological twisting survives Hamiltonian reduction. We then construct a large new class of such actions satisfying dim(T) = n - 2, using a surgery procedure on toric manifolds.

UR - https://www.scopus.com/pages/publications/77952821638

U2 - 10.1112/jlms/jdp079

DO - 10.1112/jlms/jdp079

M3 - Article

SN - 0024-6107

VL - 81

SP - 573

EP - 588

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

IS - 3

ER -

Generalized complex Hamiltonian torus actions: Examples and constraints

Abstract

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