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Modifying hyperkähler manifolds with circle symmetry

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A construction is introduced for modifying hyperkähler manifolds with tri-Hamiltonian circle action, that in favourable situations increases the second Betti number by one. This is based on the symplectic cut construction of Lerman. In 4 or 8 dimensions the construction may be interpreted as adding a D6-brane. A number of examples are given and a generalisation to three-Sasaki geometry discussed.

OriginalsprogEngelsk
TidsskriftAsian Journal of Mathematics
Vol/bind10
Nummer4
Sider (fra-til)815-826
Antal sider12
ISSN1093-6106
DOI
StatusUdgivet - 1 jan. 2006
Eksternt udgivetJa

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