Pseudodifferential calculus on a singular foliation

Mathematics – Differential Geometry

Scientific paper

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29 pages, minor changes in section 6. Submitted to JNCG. Version 3 only has one extra footnote in page 1 (acknowledgment of pa

Scientific paper

In a previous paper ([1]), we associated a holonomy groupoid and a C*-algebra
to any singular foliation (M,F). Using these, we construct the associated
pseudodifferential calculus. This calculus gives meaning to a Laplace operator
of any singular foliation F on a compact manifold M, and we show that it can be
naturally understood as a positive, unbounded, self-adjoint operator on L2(M).

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