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pseudodifferential calculus

Journal of K-Theory (1)

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Elliptic symbols, elliptic operators and Poincaré duality on conical pseudomanifolds
Jean-Marie Lescure
Journal:

Journal of K-Theory / Volume 4 / Issue 2 / October 2009

Published online by Cambridge University Press:

01 December 2008, pp. 263-297

Print publication:

October 2009
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In [7], a notion of noncommutative tangent space is associated with a conical pseudomanifold and Poincaré duality in K-theory is proved between this space and the pseudomanifold. The present paper continues this line of work. We show that an appropriate presentation of the notion of symbol on a manifold generalizes right away to conical pseudomanifolds and that it enables us to interpret Poincaré duality in the singular setting as a noncommutative symbol map.