ИСТИНА |
Войти в систему Регистрация |
|
ИСТИНА ИНХС РАН |
||
The Hirzebruch formula connects the signature of the manifold with some characteristic classes of the manifold. Inter alia I will speak on Novikov's conjecture (1970) about homotopy invariance of higher signatures and on a short natural proof of the Novikov's theorem (1965) about topological invariance of rational Pontryagin classes which was presented by M.Gromov (1995) on the base of homotopy invariance of some higher signatures. Among last results I will speak how to construct non commutative signature on non compact manifolds with proper action of a discrete group.