Invariant stably complex structures on topological toric manifolds
classification
🧮 math.DG
math.AG
keywords
manifoldtoriccomplexinvariantstablytopologicaldimensionequivariantly
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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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