Invariant stably complex structures on topological toric manifolds

Details Invariant stably complex structures on topological toric manifolds Invariant stably complex structures on topological toric manifolds

2011-02-23

arxiv.org/abs/1102.4673v1

Mathematics

Differential Geometry

8 pages

Scientific paper

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.

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