Chern Numbers and Oriented Homotopy Type
نویسنده
چکیده
1. Statement of results. This note announces the solution of the following problem, a more precise version of which appears in §2: (1) Determine the linear combinations of rational Chern numbers (of almost-complex manifolds) that are invariants of oriented homotopy type (of almost-complex manifolds). Milnor, who posed the problem, conjectured that every such homotopy invariant could be expressed as a rational linear combination of the Euler Characteristic and the Index.
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تاریخ انتشار 2007