On the existence of (almost) contact structures on 9-manifolds

Seminar/Forum

On the existence of (almost) contact structures on 9-manifolds

In this talk I will consider the problem of when a smooth manifold

admits an almost complex structure.

The problem has been solved in dimensions less than or equal to 8 and

in the second part of the talk I will present recent joint work with Huijun Yang

which gives a solution to this problem in dimension 9.

In the first part of the talk I will review the general setting of this problem

in topological K-theory and make an observation related to real Bott periodicity.

Presenter

  • Dr Diarmuid  Crowley
    Dr Diarmuid Crowley , University of Melbourne