Abstract
This is Part I of a work, in which we establish a formula for the Chern character of a family of Dirac operators of Atiyah-Patodi-Singer on even-dimensional manifolds with boundary. The key tools are the superconnections of Quillen, the cone method, and the Levi-Civita superconnection. In this Part I, we construct a family of Dirac operators on manifolds with boundary and we introduce the corresponding Levi-Civita superconnections.
Original language | English (US) |
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Pages (from-to) | 313-363 |
Number of pages | 51 |
Journal | Journal of Functional Analysis |
Volume | 89 |
Issue number | 2 |
DOIs | |
State | Published - Mar 15 1990 |
ASJC Scopus subject areas
- Analysis