Abstract
We discuss a general framework for cutting constructions and reinterpret in this setting the work on non-Abelian symplectic cuts by Weitsman. We then introduce two analogous non-Abelian modification constructions for hyperkähler manifolds: one modifies the topology significantly, the other gives metric deformations. We highlight ways in which the geometry of moment maps for non-Abelian hyperkähler actions differs from the Abelian case and from the non-Abelian symplectic case.
Originalsprog | Engelsk |
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Tidsskrift | Rendiconti del Seminario Matematico |
Vol/bind | 68 |
Nummer | 2 |
Sider (fra-til) | 157-170 |
Antal sider | 14 |
ISSN | 0373-1243 |
Status | Udgivet - 1 dec. 2010 |
Udgivet eksternt | Ja |