most recent 30 from http://mathoverflow.net 2013-05-24T17:55:48Z http://mathoverflow.net/feeds/user/1101 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/2323/hamiltonian-s1-actions-with-isolated-fixed-points/2330#2330 C. Lee 2009-10-24T18:43:53Z 2009-10-24T18:43:53Z

<p>Sue Tolman has shown that there are non-Kahler 6-dimensional manifolds admitting Hamiltonian 2-torus actions all of whose fixed points are isolated ( <a href="http://arxiv.org/abs/dg-ga/9511007" rel="nofollow">http://arxiv.org/abs/dg-ga/9511007</a> ) . This might be a good first place to look to see if one of the components of the action satisfy the criteria you want.</p> <p>Interestingly, Karshon has shown ( in dg-ga/9510004 [sorry, I can only post one link as a new user]) that if a 4-manifold admits a Hamiltonian circle action, it must be Kahler. </p>

http://mathoverflow.net/questions/2323/hamiltonian-s1-actions-with-isolated-fixed-points/2330#2330 C. Lee 2009-10-24T18:56:05Z 2009-10-24T18:56:05Z

Surprising and interesting! Perhaps the next thing to do is do a literature search for papers that cite Tolman's paper.