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On Non-Abelian Symplectic Cutting

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  • Johan Martens, Denmark
  • Michael Thaddeus, Columbia University, United States
We discuss symplectic cutting for Hamiltonian actions of non-Abelian compact groups. By using a degeneration based on the Vinberg monoid we give, in good cases, a global quotient description of a surgery construction introduced by Woodward and Meinrenken, and show it can be interpreted in algebro-geometric terms. A key ingredient is the `universal cut' of the cotangent bundle of the group itself, which is identified with a moduli space of framed bundles on chains of projective lines recently introduced by the authors.
Original languageEnglish
JournalTransformation Groups
Volume17
Issue4
Pages (from-to)1059-1084
Number of pages26
ISSN1083-4362
DOIs
Publication statusPublished - Dec 2012

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