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On non-Abelian symplectic cutting

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Original languageEnglish
Pages (from-to)1059-1084
Number of pages26
JournalTransformation Groups
Volume17
Issue number4
DOIs
Publication statusPublished - Dec 2012

Abstract

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.

    Research areas

  • MANIFOLDS, DELIGNE-MUMFORD STACKS, KAHLER, VARIETIES, CONVEXITY PROPERTIES, CUTS, GEOMETRIC-QUANTIZATION, HAMILTONIAN TORUS ACTIONS, SURGERY, ORBIFOLDS

ID: 8187902