Non-abelian cut constructions and hyperkähler modifications

TY - JOUR

T1 - Non-abelian cut constructions and hyperkähler modifications

AU - Dancer, A. S.

AU - Swann, A. F.

PY - 2010/12/1

Y1 - 2010/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=79951848142&partnerID=8YFLogxK

M3 - Journal article

AN - SCOPUS:79951848142

SN - 0373-1243

VL - 68

SP - 157

EP - 170

JO - Rendiconti del Seminario Matematico

JF - Rendiconti del Seminario Matematico

IS - 2

ER -