Superconnections and Index Theory

Details Superconnections and Index Theory Superconnections and Index Theory

2008-10-05

arxiv.org/abs/0810.0820v2

Journal of Geometry and Physics 61 (2011), pp. 1601-1624

Mathematics

Differential Geometry

29 pages, 1 figure; minor updates and corrections; final version

Scientific paper

10.1016/j.geomphys.2011.04.004

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 eta-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.

Affiliated with

Also associated with

No associations

Rating

Superconnections and Index Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Superconnections and Index Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Superconnections and Index Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-61950