30 citations · 30 across the 1 of their papers we have counts for
3 papers
math.DG2008★ 30 cited
Index, eta and rho-invariants on foliated bundles
Moulay-Tahar Benameur, Paolo Piazza
We study primary and secondary invariants of leafwise Dirac operators on foliated bundles. Given such an operator, we begin by considering the associated regular self-adjoint opera…
math.DG1999
On the homotopy invariance of higher signatures for manifolds with boundary
Eric Leichtnam, John Lott, Paolo Piazza
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…
math.DG1998
Dirac operators, heat kernels and microlocal analysis Part II: analytic surgery
Rafe Mazzeo, Paolo Piazza
Let X be a closed Riemannian manifold and let H\hookrightarrow X be an embedded hypersurface. Let X=X_+ \cup_H X_- be a decomposition of X into two manifolds with boundary, with X_…