Oriented bivariant theory, II: Algebraic cobordism of S-schemes
نویسندگان
چکیده
منابع مشابه
Bivariant algebraic K-theory
We show how methods from K-theory of operator algebras can be applied in a completely algebraic setting to define a bivariant, M∞-stable, homotopy-invariant, excisive Ktheory of algebras over a fixed unital ground ring H, (A, B) 7→ kk∗(A, B), which is universal in the sense that it maps uniquely to any other such theory. It turns out kk is related to C. Weibel’s homotopy algebraic K-theory, KH....
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Together with F. Morel, we have constructed in [6, 7, 8] a theory of algebraic cobordism, an algebro-geometric version of the topological theory of complex cobordism. In this paper, we give a survey of the construction and main results of this theory; in the final section, we propose a candidate for a theory of higher algebraic cobordism, which hopefully agrees with the cohomology theory repres...
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We examine various versions of oriented cohomology and BorelMoore homology theories in algebraic geometry and put these two together in the setting of an “oriented duality theory”, a generalization of Bloch-Ogus twisted duality theory. We apply this to give a Borel-Moore homology version MGL ∗,∗ of Voevodsky’s MGL-theory, and a natural map θ : Ω∗ → MGL 2∗,∗ , where Ω∗ is the algebraic cobordism...
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We construct an equivariant algebraic cobordism theory for schemes with an action by a linear algebraic group over a field of characteristic zero.
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2019
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x19500319