intro2

INTRODUCTION. (2 of 2)

        In contrast to a manifold, a singular space may locally look different from
        point to point. Much of our research centers on constructing, understanding
        and computing signatures, characteristic classes and other invariants for
        singular spaces.

        Complexes of sheaves which are self-dual in the sense of Verdier have become
        indispensable tools in studying the topology of singular spaces, a prime example
        being the Goresky-MacPherson-Deligne intersection chain sheaf on a stratified
        space with only even-codimensional strata.

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