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Longitudinal pseudodifferential operators on multiply fibred manifolds
Longitudinal pseudodifferential operators multiply fibred manifolds
2011/1/20
Motivated by index theory on flag varieties, we prove a compactness theorem for products of longitudinal pseudodifferential operators on manifolds admitting multiple fibrations. Let X be a smooth mani...
Pseudodifferential operators on manifolds with foliated boundaries
Pseudodifferential operators manifolds with foliated boundaries
2010/12/9
Let X be a smooth compact manifold with boundary. For smooth foliations on the boundary of X admitting a ‘resolution’ in terms of a fibra-tion, we construct a pseudodifferential calculus generalizing ...