Non-abelian cut constructions and hyperkähler modifications

A. S. Dancer, A. F. Swann

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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.

OriginalsprogEngelsk
TidsskriftRendiconti del Seminario Matematico
Vol/bind68
Nummer2
Sider (fra-til)157-170
Antal sider14
ISSN0373-1243
StatusUdgivet - 1 dec. 2010
Udgivet eksterntJa

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