The analysis of elliptic families

• DOI: 10.1007/bf01206955
• Publication Date: 2005-02-25T14:30:49Z
• Authors: Jean-Michel Bismut; Daniel S. Freed
• Keywords: Holonomy

In this paper we specialize the results obtained in [BF1] to the case of a family of Dirac operators. We first calculate the curvature of the unitary connection on the determinant bundle which we introduced in [BF1].