An L2-index theorem for Dirac operators on S1 x R3

An expression is found for the L-2-index of a Dirac operator coupled to a connection on a U-eta vector bundle over S-1 x R-3. Boundary conditions for the connection are given which ensure the coupled Dirac operator Fredholm. Callias ' index theorem is used to calculate the index when the connection is independent of the coordinate on S-1. An excision theorem due to Gromov, Lawson, and Anghel reduces the index theorem to this special case. (C) 2000 Academic Press.