Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658311 | Topology and its Applications | 2015 | 34 Pages |
Abstract
We restrict geometric tangential equivariant complex Tn-bordism to torus manifolds and provide a complete combinatorial description of the appropriate non-commutative ring. We discover, using equivariant K-theory characteristic numbers, that the information encoded in the oriented torus graph associated to a stably complex torus manifold completely describes its equivariant bordism class. We also consider the role of omnioriented quasitoric manifolds in this description.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Alastair Darby,