Email this article Quasitoric Totally Normally Split Representatives in the Unitary Cobordism Ring
- Authors: Solomadin G.D.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 105, No 5-6 (2019)
- Pages: 763-780
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/151753
- DOI: https://doi.org/10.1134/S0001434619050134
- ID: 151753
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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.
About the authors
G. D. Solomadin
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: grigory.solomadin@gmail.com
Russian Federation, Moscow, 119991
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