most recent 30 from http://mathoverflow.net 2013-05-25T09:09:35Z http://mathoverflow.net/feeds/question/27807 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/27807/morse-bott-homology-for-infinite-dimensional-manifolds Orbicular 2010-06-11T11:34:43Z 2010-06-22T23:51:11Z

<p>Is there any work on Morse-Bott homology for infinite-dimensional manifolds (e.g. Hilbert manifolds). I am particularly interested in the case where we have a locally trivial fiber bundle and the Morse-Bott function is the function on the total space which is a pulled back Morse function on the base.</p>

http://mathoverflow.net/questions/27807/morse-bott-homology-for-infinite-dimensional-manifolds/29172#29172 Richard Montgomery 2010-06-22T23:51:11Z 2010-06-22T23:51:11Z

<p>See Atiyah and Bott's papers on Yang-Mills for Riemann surfaces.<br> The essence of it is that the Yang-Mills functional acts like a perfect Morse functional after quotienting by gauge transformations. So, look at it before the quotient to get your Morse-Bott function.</p>