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math.AG2013★ 23 cited
Bivariant Algebraic Cobordism
José Luis González, Kalle Karu
We associate a bivariant theory to any suitable oriented Borel-Moore homology theory on the category of algebraic schemes or the category of algebraic G-schemes. Applying this to t…
math.AG2013
Universality of K-Theory
José Luis González, Kalle Karu
We prove that graded K-theory is universal among oriented Borel-Moore homology theories with a multiplicative periodic formal group law.
math.AG2013
Descent for algebraic cobordism
José Luis González, Kalle Karu
We prove the exactness of a descent sequence relating the algebraic cobordism groups of a scheme and its envelopes. Analogous sequences for Chow groups and K-theory were previously…