Oriented Cohomology, Borel-moore Homology and Algebraic Cobordism
نویسنده
چکیده
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 theory defined in [4]. We conjecture that θ is an isomorphism and describe a program for proving this conjecture.
منابع مشابه
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