Intersection Pairings on Spaces of Connections and Chern-Simons Theory on Seifert Manifolds

Details Intersection Pairings on Spaces of Connections and Chern-Simons Theory on Seifert Manifolds Intersection Pairings on Spaces of Connections and Chern-Simons Theory on Seifert Manifolds

2010-01-17

arxiv.org/abs/1001.2885v1

Mathematics

Differential Geometry

Talk given at the workshop Chern-Simons Gauge Theory: 20 years after, August 3-7 2009, Hausdorff Center for Mathematics, 13 pa

Scientific paper

Let M be a U(1) bundle over a smooth Riemann surface. I show that for Chern-Simons theory on M, with structure group G, the path integral is an integral over the space of G-connections on the Riemann surface involving characteristic classes as well as a certain 4-dimensional class that comes from a universal bundle. When M is the product of a Riemann surface with a circle the 4-dimensional class does not enter and the path integral takes the form of a Riemann-Roch formula albeit in infinite dimensions. The discussion is generalised to include Wilson lines along the fibre direction in M.

Affiliated with

Also associated with

No associations

Rating

Intersection Pairings on Spaces of Connections and Chern-Simons Theory on Seifert Manifolds 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 Intersection Pairings on Spaces of Connections and Chern-Simons Theory on Seifert Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Intersection Pairings on Spaces of Connections and Chern-Simons Theory on Seifert Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-455673