The action of a torus group on a symplectic toric manifold
often extends to an effective action of a (non-abelian) compact Lie group .
We may think of and as compact Lie subgroups of the symplectomorphism
group $Symp(M,...
Proceedings of the Steklov Institute of Mathematics, 2010, Vol.
268, pp. 242-247 Sep 2008
We investigate when two generalized real Bott manifolds of height 2 have
isomorphic cohomology rings with Z/2 coefficients and also when they are
diffeomorphic. It turns out that cohomology rings with Z/2 coefficients do not
distinguish those mani...
A real Bott manifold is the total space of a sequence of bundles
starting with a point, where each bundle is projectivization of a
Whitney sum of two real line bundles. A real Bott manifold is a real toric
manifold which admits a...
The equivariant cohomology of a space with a group action is not only a ring
but also an algebra over the cohomology ring of the classifying space of the
acting group. We prove that toric manifolds (i.e. compact smooth toric
varieties) are isomorp...
