Talk
The rotation-equivariant index of the Dirac-Ramond operator in the flat case
- Tilmann Wurzbacher (Université de Metz et C.N.R.S., Laboratoire de Mathématiques, France)
Abstract
We give rigorous construction of the S1-equivariant Dirac operator (i.e., Dirac-Ramond operator) on the space of (mean zero) loops in ℝd and compute its equivariant L2-index. Essential use is made of infinite tensor product representations of the Canonical Anticommutation Relations algebra.