Classical Chern-Simons on manifolds with spin structure

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dc.creatorJenquin, Jerome A.
dc.date2005-04-25
dc.date2005-04-27
dc.date.accessioned2026-07-07T05:19:25Z
dc.date.available2026-07-07T05:19:25Z
dc.descriptionWe 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.
dc.description43 pages, first of two papers in series
dc.identifierhttps://arxiv.org/abs/math/0504524
dc.identifierhttp://arxiv.org/abs/math/0504524
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75010
dc.subjectDifferential Geometry
dc.subject53C05; 53C27; 53C80
dc.titleClassical Chern-Simons on manifolds with spin structure
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