Subject: char classes From: wolfgang Ziller Date: Tue, 20 Dec 2005 23:39:26 -0200 I would like to know what kind of information is contained in the Pontryagin classes that are homotopy invariants. I know a theorem by Hirzebruch that p_1(M) mod 24 is a homotopy invariant. What other combinations like this, mod some integer, are homotopy invariants. Any that involve only p_1 and p_2 ? Any references would be welcome. wolfgang ziller