Circle and torus actions on equal symplectic blow-ups of CP^2

Details Circle and torus actions on equal symplectic blow-ups of CP^2 Circle and torus actions on equal symplectic blow-ups of CP^2

2005-01-02

arxiv.org/abs/math/0501011v1

Math. Res. Letters 14 (2007), no. 5, 807-823

Mathematics

Symplectic Geometry

19 pages

Scientific paper

A manifold obtained by k simultaneous symplectic blow-ups of CP^2 of equal
sizes epsilon (where the size of CP^1 \subset CP^2 is one) admits an effective
two dimensional torus action if k <= 3 and admits an effective circle action if
(k-1)epsilon < 1. We show that these bounds are sharp if 1/epsilon is an
integer.

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