INVARIANT STABLY COMPLEX STRUCTURES ON TOPOLOGICAL TORIC MANIFOLDS

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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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  • Osaka Journal of Mathematics

    Osaka Journal of Mathematics 50 (3), 795-806, 2013-09

    Osaka University and Osaka City University, Departments of Mathematics

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