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arXiv · 0704.1033

Topology of spaces of equivariant symplectic embeddings

Alvaro Pelayo
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Abstract

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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Alvaro Pelayo. 2007-04-08. Topology of spaces of equivariant symplectic embeddings. https://arxiv.org/abs/0704.1033

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