K-equivalence in Birational Geometry and Characterizations of Complex Elliptic Genera
arXiv:math/0103063
Abstract
We show that for smooth complex projective varieties the most general combinations of chern numbers that are invariant under the K-equivalence relation consist of the complex elliptic genera. Combined with a recent result of Totaro, we deduce that up to complex cobordism any K-equivalence can be decomposed into a sequence of classical flops.
23 pages. LaTeX file. To appear in J. Algebraic Geometry