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2016 On toric generators in the unitary and special unitary bordism rings
Zhi Lü, Taras Panov
Algebr. Geom. Topol. 16(5): 2865-2893 (2016). DOI: 10.2140/agt.2016.16.2865


We construct a new family of toric manifolds generating the unitary bordism ring. Each manifold in the family is the complex projectivisation of the sum of a line bundle and a trivial bundle over a complex projective space. We also construct a family of special unitary quasitoric manifolds which contains polynomial generators of the special unitary bordism ring with 2 inverted in dimensions > 8. Each manifold in the latter family is obtained from an iterated complex projectivisation of a sum of line bundles by amending the complex structure to make the first Chern class vanish.


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Zhi Lü. Taras Panov. "On toric generators in the unitary and special unitary bordism rings." Algebr. Geom. Topol. 16 (5) 2865 - 2893, 2016.


Received: 2 June 2015; Revised: 15 October 2015; Accepted: 20 February 2016; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1354.57040
MathSciNet: MR3572352
Digital Object Identifier: 10.2140/agt.2016.16.2865

Primary: 57R77
Secondary: 14M25

Keywords: characteristic numbers , complex bordism , SU-bordism , toric manifold

Rights: Copyright © 2016 Mathematical Sciences Publishers


Vol.16 • No. 5 • 2016
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