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Mat. Zametki, 2019, Volume 105, Issue 5, Pages 771–791 (Mi mz11818)  
Quasitoric Totally Normally Split Representatives in the Unitary Cobordism Ring

G. D. Solomadin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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.


DOI: https://doi.org/10.4213/mzm11818

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English version:
Mathematical Notes, 2019, 105:5, 763–780

Bibliographic databases:

UDC: 515.14+515.16
Received: 04.10.2017

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

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