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arXiv 2013-12-20 DOI 10.2140/agt.2014.14.3097 0 views

Examples of toric manifolds which are not quasitoric manifolds

Suyama, Yusuke

Original · EN

We construct toric manifolds of complex dimension ≥ 4, whose orbit spaces by the action of the compact torus are not homeomorphic to simple polytopes (as manifolds with corners). These provide the first known examples of toric manifolds which are not quasitoric manifolds.

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