Fredholm Realizations of Elliptic Symbols on Manifolds with Boundary Ii: Fibered Boundary Pierre Albin and Richard Melrose
نویسنده
چکیده
We consider two calculi of pseudodifferential operators on manifolds with fibered boundary: Mazzeo’s edge calculus, which has as local model the operators associated to products of closed manifolds with asymptotically hyperbolic spaces, and the φ calculus of Mazzeo and the second author, which is similarly modeled on products of closed manifolds with asymptotically Euclidean spaces. We construct an adiabatic calculus of operators interpolating between them, and use this to compute the ‘smooth’ K-theory groups of the edge calculus, determine the existence of Fredholm quantizations of elliptic symbols, and establish a families index theorem in K-theory.
منابع مشابه
Fredholm realizations of elliptic symbols on manifolds with boundary II: fibered boundary Citation Albin, Pierre and Richard Melrose. "Fredholm realizations of elliptic symbols on manifolds with boundary II: fibered boundary." in Motives, quantum field theory, and pseudodifferential operators
We consider two calculi of pseudodifferential operators on manifolds with fibered boundary: Mazzeo’s edge calculus, which has as local model the operators associated to products of closed manifolds with asymptotically hyperbolic spaces, and the φ calculus of Mazzeo and the second author, which is similarly modeled on products of closed manifolds with asymptotically Euclidean spaces. We construc...
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