Aarhus University Seal

Modifying hyperkähler manifolds with circle symmetry

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

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
Pages (from-to)815-826
Number of pages12
Publication statusPublished - 1 Jan 2006
Externally publishedYes

    Research areas

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

See relations at Aarhus University Citationformats

ID: 151849143