Examples of quasitoric manifolds as special unitary manifolds
classification
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keywords
manifoldsquasitoricbuchstaber--panov--rayconjecturecounterexamplesdimensionalelementexamples
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This note shows that for each $n\geq 5$ with only $n\not= 6$, there exists a $2n$-dimensional specially omnioriented quasitoric manifold $M^{2n}$ which represents a nonzero element in $\Omega_*^U$. This provides the counterexamples of Buchstaber--Panov--Ray conjecture.
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