Abstract
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.
Citation
Andrew Dancer. Andrew Swann. "Modifying hyperkähler manifolds with circle symmetry." Asian J. Math. 10 (4) 815 - 826, December 2006.
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