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math.DG2006
The index of Dirac operators on manifolds with fibered boundaries
Eric Leichtnam, Rafe Mazzeo, Paolo Piazza
Let X be a compact manifold with boundary, and suppose that the boundary is the total space of a fibration with base Y and fibre Z. Let D be a generalized Dirac operator associated…
math.OA2006
Scaling group flow and Lefschetz trace formula for laminated spaces with adic transversal
Eric Leichtnam
In his approach to analytic number theory C. Deninger has suggested that to the Riemann zeta function (resp. the zeta function of a smooth projective curve …
math.SG2006
Poisson geometry and deformation quantization near a pseudoconvex boundary
Eric Leichtnam, Xiang Tang, Alan Weinstein
Let X be a complex manifold with strongly pseudoconvex boundary M. If u is a defining function for M, then -log u is plurisubharmonic on a neighborhood of M in X, and the (real) 2-…