Abstract for the talk at 06.12.2001 (15:15 h)

Tilmann Wurzbacher (Université de Metz et C.N.R.S., Laboratoire de Mathématiques, France)

The rotation-equivariant index of the Dirac-Ramond operator in the flat case

We give rigorous construction of the S¹-equivariant Dirac operator (i.e., Dirac-Ramond operator) on the space of (mean zero) loops in ^d and compute its equivariant L²-index. Essential use is made of infinite tensor product representations of the Canonical Anticommutation Relations algebra.