149 citations · 184 across the 9 of their papers we have counts for
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math.AG2008
Smooth motives
Marc Levine
Following ideas of Bondarko, we construct a DG category whose homotopy category is equivalent to the full subcategory of motives over a base-scheme generated by the motives of…
math.KT2008★ 2 cited
Oriented cohomology, Borel-Moore homology and algebraic cobordism
Marc Levine
We examine various versions of oriented cohomology and Borel-Moore homology theories in algebraic geometry and put these two together in the setting of an "oriented duality theory"…
math.KT2008★ 11 cited
Comparison of cobordism theories
Marc Levine
Relying on results of Hopkins-Morel, we show that, for a quasi-projective variety over a field of characteristic zero, the canonical map is an isomor…