Topology of generalized complex quotients

Thomas Baird, Yi Lin

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Consider the Hamiltonian action of a torus on a compact twisted generalized complex manifold M. We first observe that Kirwan injectivity and surjectivity hold for ordinary equivariant cohomology in this setting. Then we prove that these two results hold for the twisted equivariant cohomology as well.

Original languageEnglish
Pages (from-to)1539-1557
Number of pages19
JournalJournal of Geometry and Physics
Volume60
Issue number10
DOIs
StatePublished - Oct 2010

Scopus Subject Areas

  • Mathematical Physics
  • General Physics and Astronomy
  • Geometry and Topology

Keywords

  • Equivariant cohomology
  • Generalized complex manifolds
  • Hamiltonian actions
  • Kirwan surjectivity
  • Morse-Bott function

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