#### Volume 16, issue 5 (2016)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
On toric generators in the unitary and special unitary bordism rings

### Zhi Lü and Taras Panov

Algebraic & Geometric Topology 16 (2016) 2865–2893
##### 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.

##### Keywords
complex bordism, SU-bordism, toric manifold, characteristic numbers
Primary: 57R77
Secondary: 14M25