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arXiv · 1409.0156

Algebraic Cobordism as a module over the Lazard ring

Alexander Vishik
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Abstract

In this paper we study the structure of the Algebraic Cobordism ring of a variety as a module over the Lazard ring, and show that it has relations in positive codimensions. We actually prove the stronger graded version. This extends the result of M.Levine-F.Morel claiming that this module has generators in non-negative codimensions. As an application we compute the Algebraic Cobordism ring of a curve. The main tool is Symmetric Operations in Algebraic Cobordism.

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Alexander Vishik. 2014-08-30. Algebraic Cobordism as a module over the Lazard ring. https://arxiv.org/abs/1409.0156

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