Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894942 | Journal of Geometry and Physics | 2011 | 24 Pages |
Abstract
We investigate index theory in the context of Dirac operators coupled to superconnections. In particular, we prove a local index theorem for such operators, and for families of such operators. We investigate η-invariants and prove an APS theorem, and construct a geometric determinant line bundle for families of such operators, computing its curvature and holonomy in terms of familiar index theoretic quantities.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Alexander Kahle,