3 papers
math.DG2000
Local formula for the index of a Fourier Integral Operator
Eric Leichtnam, Ryszard Nest, Boris Tsygan
We show that the index of an elliptic Fourier integral operator associated to a contact diffeomorphism of cosphere bundles of two Riemannian manifolds X and Y is given by $\int…
math.GT2000
On the cut and paste property of higher signatures of a closed oriented manifold
Eric Leichtnam, Wolfgang Lueck
We extend the notion of the symmetric signature in L^n(R) for a compact n-dimensional manifold M without boundary, a reference map r from M to BG and a homomorphism…
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…