Elliptic symbols, elliptic operators and Poincare dualityon conical pseudomanifolds

摘要

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