Isomorphisms Between Algebraic Cobordism and K-theory over Singular Schemes, by Shouxin Dai

This is our thesis under guide of Marc Levine. Levine and Morel prove that multiplicative algebraic cobordism is canonically isomorphic to multiplicative Grothendieck group over smooth schemes over a field of characteristic zero. We extended this result to the singular case. Some of the corollaries include the singular Riemann-Roch of Baum, Fulton, and MacPherson, and the Riemann-Roch for locally complete intersection morphisms.

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