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On the construction of certain 6-dimensional symplectic manifolds with Hamiltonian circle actions
Author(s):
Hui
Li
Journal:
Trans. Amer. Math. Soc.
357
(2005),
983-998.
MSC (2000):
Primary 53D05, 53D20;
Secondary 57R17
Posted:
October 19, 2004
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Additional information
Abstract:
Let  be a connected, compact 6-dimensional symplectic manifold equipped with a semi-free Hamiltonian  action such that the fixed point set consists of isolated points or surfaces. Assume dim  . In an earlier paper, we defined a certain invariant of such spaces which consists of fixed point data and twist type, and we divided the possible values of these invariants into six ``types''. In this paper, we construct such manifolds with these ``types''. As a consequence, we have a precise list of the values of these invariants.
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Additional Information:
Hui
Li
Affiliation:
Department of Mathematics, University of Illinois Urbana-Champaign, Urbana, Illinois 61801
Address at time of publication:
Department of Mathematics, Instituto Superior Tecnico, Av. Rovisco Pais, 1049-001, Lisbon, Portugal
Email:
hli@math.uiuc.edu, hli@math.ist.utl.pt
DOI:
10.1090/S0002-9947-04-03762-6
PII:
S 0002-9947(04)03762-6
Keywords:
Symplectic manifold,
Hamiltonian $S^1$ action,
moment map,
symplectic quotient,
symplectic submanifolds.
Received by editor(s):
May 5, 2003
Posted:
October 19, 2004
Additional Notes:
The author acknowledges the support of the center of Analysis, Geometry, and Dynamical systems in Lisbon, Portugal, where this paper was revised.
Copyright of article:
Copyright
2004,
American Mathematical Society
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