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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.

Original languageEnglish
JournalAsian Journal of Mathematics
Volume10
Issue4
Pages (from-to)815-826
Number of pages12
ISSN1093-6106
DOIs
Publication statusPublished - 1 Jan 2006
Externally publishedYes

    Research areas

  • Circle action, Hyperkähler manifold, Moment map, Symplectic cut, Three-sasaki

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