Chern numbers and diffeomorphism types of projective varieties
arXiv:0709.2857 · doi:10.1112/jtopol/jtn007
Abstract
In 1954 Hirzebruch asked which linear combinations of Chern numbers are topological invariants of smooth complex projective varieties. We give a complete answer to this question in small dimensions, and also prove partial results without restrictions on the dimension.
minor edits; to appear in the Journal of Topology