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arXiv · 1412.5084

On toric generators in the unitary and special unitary bordism rings

Zhi Lu·Taras Panov
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Abstract

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 Lu, Taras Panov. 2016-11-18. On toric generators in the unitary and special unitary bordism rings. https://doi.org/10.2140/agt.2016.16.2865

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