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arXiv · 0902.0250

Quasitoric Manifolds with Invariant Almost Complex Structure

Andrei Kustarev
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Abstract

We prove that any quasitoric manifold $M^{2n}$ admits a $T^n$-invariant almost complex structure if and only if $M$ admits a positive omniorientation. In particular, we show that all obstructions to existence of $T^n$-invariant almost complex structure on $M^{2n}$ arise from cohomology of underlying polytope - and hence are trivial.

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Andrei Kustarev. 2009-04-27. Quasitoric Manifolds with Invariant Almost Complex Structure. https://arxiv.org/abs/0902.0250

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