Modifying hyperkaehler manifolds with circle symmetry
Differential Geometry
2007-05-23 v2 High Energy Physics - Theory
Abstract
A construction is introduced for modifying hyperkaehler 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 generalisations to three-Sasaki and hypersymplectic geometry discussed.
Cite
@article{arxiv.math/0510501,
title = {Modifying hyperkaehler manifolds with circle symmetry},
author = {Andrew Dancer and Andrew Swann},
journal= {arXiv preprint arXiv:math/0510501},
year = {2007}
}
Comments
17 pages