Circle and torus actions on equal symplectic blow-ups of CP^2
Symplectic Geometry
2011-08-02 v1
Abstract
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.
Cite
@article{arxiv.math/0501011,
title = {Circle and torus actions on equal symplectic blow-ups of CP^2},
author = {Yael Karshon and Liat Kessler},
journal= {arXiv preprint arXiv:math/0501011},
year = {2011}
}
Comments
19 pages