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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>>