This article is cited in 13 papers

Classification Problem for Quasitoric Manifolds over a Given Simple Polytope

N. E. Dobrinskaya

M. V. Lomonosov Moscow State University

Abstract: The classification problem for quasitoric manifolds over a given polytope $P^n$ is considered. The known construction of weights, which was used in the study of the similar problem for toric manifolds, is modified. The construction thus obtained is applied to the solution of the above problem in small dimensions. Classification results are also obtained for polytopes that are products of finitely many simplices of arbitrary dimensions.

UDC: 515.16

Received: 26.10.1999

DOI: 10.4213/faa241

 English version: Functional Analysis and Its Applications, 2001, 35:2, 83–89

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