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Matematicheskie Zametki, 2019, Volume 105, Issue 5, Pages 771–791
DOI: https://doi.org/10.4213/mzm11818 (Mi mzm11818) 		 
Quasitoric Totally Normally Split Representatives in the Unitary Cobordism Ring

G. D. Solomadin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.4213/mzm11818
Abstract: 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, residues of binomial coefficients.
Funding agency Grant number
Russian Science Foundation 14-11-00414
This work was performed at Steklov Mathematical Institute of Russian Academy of Sciences and supported by the Russian Science Foundation under grant no. 14-11-00414.
Received: 04.10.2017
English version:
Mathematical Notes, 2019, Volume 105, Issue 5, Pages 763–780
DOI: https://doi.org/10.1134/S0001434619050134
Bibliographic databases:
Document Type: Article
UDC: 515.14+515.16
Language: Russian
Citation: G. D. Solomadin, “Quasitoric Totally Normally Split Representatives in the Unitary Cobordism Ring”, Mat. Zametki, 105:5 (2019), 771–791; Math. Notes, 105:5 (2019), 763–780
Citation in format AMSBIB
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