Geodesic
Quasitoric Totally Normally Split Representatives in the Unitary Cobordism Ring
Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 771-791

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A smooth stably complex manifold is said to be totally tangentially/normally split if its stably tangential/normal bundle is isomorphic to a sum of complex line bundles. It is proved that each class of degree greater than 2 in the graded unitary cobordism ring contains a quasitoric totally tangentially and normally split manifold.
Keywords: complex cobordisms, quasitoric manifold, Bott tower
Mots-clés : residues of binomial coefficients. 
@article{MZM_2019_105_5_a10,
     author = {G. D. Solomadin},
     title = {Quasitoric {Totally} {Normally} {Split} {Representatives} in the {Unitary} {Cobordism} {Ring}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {771--791},
     publisher = {mathdoc},
     volume = {105},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a10/}
}
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G. D. Solomadin. Quasitoric Totally Normally Split Representatives in the Unitary Cobordism Ring. Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 771-791. http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a10/