Differential Geometry Working Seminar

Aleksandar Milivojevic, University of Waterloo

Realizing topological data by closed almost complex manifolds

I will talk about the topological obstructions to placing an almost complex structure on a smooth manifold. I will then discuss how the vanishing of these obstructions is in many cases sufficient to realize a given rational homotopy type (with a choice of cohomology classes) by an almost complex manifold (with those cohomology classes as its rational Chern classes).

MC 5403