Abstract
According to McDuff the blow-up operation in symplectic geometry amounts to a removal of an open symplectic ball followed by a collapse of some boundary directions. In this paper I describe a generalization of the blow-up construction–-the symplectic cut. In the case of symplectic manifolds with Hamiltonian circle action, the construction allows us to embed the reduced spaces in a symplectic manifold (“the symplectic cut”) as codimension 2 symplectic submanifolds. Several applications are discussed.
Original language | English (US) |
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Pages (from-to) | 247-258 |
Number of pages | 12 |
Journal | Mathematical Research Letters |
Volume | 2 |
Issue number | 3 |
DOIs | |
State | Published - Jan 1 1995 |
Externally published | Yes |