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Bivariant derived algebraic cobordism. (arXiv:1807.04989v1 [math.AG])

来源于:arXiv
We extend the derived Algebraic cobordism of Lowrey and Sch\"urg to a bivariant theory in the sense of Fulton and MacPherson, and establish some of its basic properties. We also formalize some previously known results about orientations in bivariant theories in order to illuminate the fact that they should be thought as properties of the category on which the bivariant theory is defined rather than properties of the bivariant theories themselves. We establish connections of the newly constructed theory to the bivariant algebraic $K$-theory and prove an analogue of the Conner-Floyd theorem on the corresponding cohomology rings. 查看全文>>