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arXiv · 1301.4210

Bivariant Algebraic Cobordism

José Luis González·Kalle Karu
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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.

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José Luis González, Kalle Karu. 2013-01-17. Bivariant Algebraic Cobordism. https://doi.org/10.2140/ant.2015.9.1293

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