Abstract / Description of output
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 language | English |
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Pages (from-to) | 1059-1084 |
Number of pages | 26 |
Journal | Transformation Groups |
Volume | 17 |
Issue number | 4 |
DOIs | |
Publication status | Published - Dec 2012 |
Keywords / Materials (for Non-textual outputs)
- MANIFOLDS
- DELIGNE-MUMFORD STACKS
- KAHLER
- VARIETIES
- CONVEXITY PROPERTIES
- CUTS
- GEOMETRIC-QUANTIZATION
- HAMILTONIAN TORUS ACTIONS
- SURGERY
- ORBIFOLDS