Invariant stably complex structures on topological toric manifolds

Abstract

We show that any $(\C ^*)^n$-invariant stably complex structure on a topological toric manifold of dimension $2n$ is integrable. We also show that such a manifold is weakly $(\C ^*)^n$-equivariantly isomorphic to a toric manifold.

8 pages

Cited by in corpus (1)

• Geometry of nondegenerate ${\mathbb{R}}^n$-actions on $n$-manifolds