Contents Online
Mathematical Research Letters
Volume 23 (2016)
Number 5
Examples of quasitoric manifolds as special unitary manifolds
Pages: 1453 – 1468
DOI: https://dx.doi.org/10.4310/MRL.2016.v23.n5.a10
Authors
Abstract
This note shows that for each $n \geq 5$ with only $n \neq 6$, there exists a $2n$-dimensional specially omni-oriented quasitoric manifold $M^{2n}$ which represents a nonzero element in ${\Omega}^U_{*}$. This provides the counter-examples of Buchstaber–Panov–Ray conjecture.
Keywords
unitary bordism, special unitary manifold, quasitoric manifold, small cover, Stong manifold
2010 Mathematics Subject Classification
Primary 57R85, 57S10. Secondary 14M25, 52B70.
Accepted 22 February 2015
Published 12 January 2017