Mathematics – Algebraic Topology
Scientific paper
2009-02-02
Mathematics
Algebraic Topology
Scientific paper
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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