Geodesic
Classification Problem for Quasitoric Manifolds over a Given Simple Polytope
Funkcionalʹnyj analiz i ego priloženiâ, Tome 35 (2001) no. 2, pp. 3-11

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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. 
@article{FAA_2001_35_2_a0,
     author = {N. E. Dobrinskaya},
     title = {Classification {Problem} for {Quasitoric} {Manifolds} over a {Given} {Simple} {Polytope}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {3--11},
     publisher = {mathdoc},
     volume = {35},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2001_35_2_a0/}
}
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N. E. Dobrinskaya. Classification Problem for Quasitoric Manifolds over a Given Simple Polytope. Funkcionalʹnyj analiz i ego priloženiâ, Tome 35 (2001) no. 2, pp. 3-11. http://geodesic.mathdoc.fr/item/FAA_2001_35_2_a0/