Bivariant Algebraic Cobordism
Algebraic Geometry
2016-01-20 v1
Abstract
We associate a bivariant theory to any suitable oriented Borel-Moore homology theory on the category of algebraic schemes or the category of algebraic G-schemes. Applying this to the theory of algebraic cobordism yields operational cobordism rings and operational G-equivariant cobordism rings associated to all schemes in these categories. In the case of toric varieties, the operational T-equivariant cobordism ring may be described as the ring of piecewise graded power series on the fan with coefficients in the Lazard ring.
Cite
@article{arxiv.1301.4210,
title = {Bivariant Algebraic Cobordism},
author = {José Luis González and Kalle Karu},
journal= {arXiv preprint arXiv:1301.4210},
year = {2016}
}
Comments
39 pages