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Examples of quasitoric manifolds as special unitary manifolds

Algebraic Topology 2017-02-28 v3

Abstract

This note shows that for each n5n\geq 5 with only n6n\not= 6, there exists a 2n2n-dimensional specially omnioriented quasitoric manifold M2nM^{2n} which represents a nonzero element in ΩU\Omega_*^U. This provides the counterexamples of Buchstaber--Panov--Ray conjecture.

Keywords

Cite

@article{arxiv.1310.3933,
  title  = {Examples of quasitoric manifolds as special unitary manifolds},
  author = {Zhi Lü and Wei Wang},
  journal= {arXiv preprint arXiv:1310.3933},
  year   = {2017}
}

Comments

10 pages, v3: final version