most recent 30 from http://mathoverflow.net 2013-05-21T17:32:35Z http://mathoverflow.net/feeds/question/116076 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/116076/jumping-of-type-in-generalized-complex-structure Hassan Jolany 2012-12-11T13:00:09Z 2013-01-11T15:33:31Z

<p>We know that the "type" of generalized complex structure may vary throughout the manifold, in fact the "type" can be thought of as the number of transverse complex directions, and so is an upper semi-continious function on the manifold. (each point has a neighbourhood in which it does not increase). Why, when the "type" is zero, are there only symplectic directions and when then "type" is $n$, all the directions are complex? and why does "type" jump up always by an even number?</p>