Topology of spaces of equivariant symplectic embeddings
Author:
Alvaro Pelayo
Journal:
Proc. Amer. Math. Soc. 135 (2007), 277-288
MSC (2000):
Primary 53D20; Secondary 53D05
DOI:
https://doi.org/10.1090/S0002-9939-06-08310-9
Published electronically:
July 28, 2006
MathSciNet review:
2280203
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: We compute the homotopy type of the space of -equivariant symplectic embeddings from the standard
-dimensional ball of some fixed radius into a
-dimensional symplectic-toric manifold
, and use this computation to define a
-valued step function on
which is an invariant of the symplectic-toric type of
. We conclude with a discussion of the partially equivariant case of this result.
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Additional Information
Alvaro Pelayo
Affiliation:
Department of Mathematics, University of Michigan, 2074 East Hall, 530 Church Street, Ann Arbor, Michigan 48109-1043
Email:
apelayo@umich.edu
DOI:
https://doi.org/10.1090/S0002-9939-06-08310-9
Received by editor(s):
August 5, 2004
Received by editor(s) in revised form:
April 22, 2005
Published electronically:
July 28, 2006
Communicated by:
Ronald A. Fintushel
Article copyright:
© Copyright 2006
American Mathematical Society