A SpinC-manifold is a C\infty manifold with a given structure
which is slightly stronger than an orientation. A Spin C manifold
has a Dirac operator. This is a first order elliptic differential
operator. The (equivariant) indices of these Dirac...
A number of well known problems (Mackey analogy,
Parthasarathy-Atiyah-Schmid construction of the discrete series,
Novikov conjecture, stable Gromov-Lawson-Rosenberg conjecture,
Kadison-Kaplansky conjecture) are contained in the issue of...