If M is a compact oriented manifold-with-boundary whose fundamental group is virtually nilpotent or Gromov-hyperbolic, we show that the higher signatures of M are oriented-homotopy invariants. We give applications to the question of when higher signatures of closed manifolds are cut-and-paste invariant.
On the homotopy invariance of higher signatures for manifolds with boundary / Eric, Leichtnam; John, Lott; Piazza, Paolo. - In: JOURNAL OF DIFFERENTIAL GEOMETRY. - ISSN 0022-040X. - STAMPA. - 54:3(2000), pp. 561-633.
On the homotopy invariance of higher signatures for manifolds with boundary
PIAZZA, Paolo
2000
Abstract
If M is a compact oriented manifold-with-boundary whose fundamental group is virtually nilpotent or Gromov-hyperbolic, we show that the higher signatures of M are oriented-homotopy invariants. We give applications to the question of when higher signatures of closed manifolds are cut-and-paste invariant.File allegati a questo prodotto
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