Mathematics – Differential Geometry
Scientific paper
2005-04-25
Mathematics
Differential Geometry
43 pages, first of two papers in series
Scientific paper
We construct a 2+1 dimensional classical gauge theory on manifolds with spin structure whose action is a refinement of the Atiyah-Patodi- Singer eta-invariant for twisted Dirac operators. We investigate the properties of the Lagrangian field theory for closed, spun 3-manifolds and compact, spun 3-manifolds with boundary where the action is interpreted as a unitary element of a Pfaffian line of twisted Dirac operators. We then investigate the properties of the Hamiltonian field theory over 3-manifolds of the form (R x Y), where Y is a closed, spun 2-manifold. From the action we derive a unitary line bundle with connection over the moduli stack of flat gauge fields on Y.
No associations
LandOfFree
Classical Chern-Simons on manifolds with spin structure 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 Classical Chern-Simons on manifolds with spin structure, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical Chern-Simons on manifolds with spin structure will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-199861