Topology of spaces of equivariant symplectic embeddings

Details Topology of spaces of equivariant symplectic embeddings Topology of spaces of equivariant symplectic embeddings

2007-04-08

arxiv.org/abs/0704.1033v1

Published in Proceedings of the American Mathematical Society 135 (2007) 277-288

Mathematics

Symplectic Geometry

13 pages, 4 figures

Scientific paper

We compute the homotopy type of the space of T^n-equivariant symplectic embeddings from the standard 2n-dimensional ball of some fixed radius into a 2n-dimensional symplectic-toric manifold M, and use this computation to define a Z-valued step function on the positive real line which is an invariant of the symplectic-toric type of M. We conclude with a discussion of the partially equivariant case of this result.

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