“Almost complex substructures on spheres equivariant under
semifree group actions”

 

 

 

by

 

TURGUT ONDER

(METU)

 

 

Abstract: Let G be a finite group and V be unitary representation of G. We will first give a brief review of the earlier results about the existence of a G-invariant subbundle of the tangent bundle of the unit sphere S(V) admitting  a G-equivariant complex structure. Then we will show that the sufficient conditions found earlier for the existence of such subbundles (and equivariant complex structures on them) are also necessary for at least a large group of semifree group actions. The proof uses Bredon Cohomology and Equivariant K-theory.

 

 

 

Date : March 30, 2009 (Monday)

Time : 13.40-15.30

Place: Department of Mathematics SAZ-02