Remarks on Chern-Simons Theory

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dc.creatorFreed, Daniel S.
dc.date2008-08-19
dc.date2008-10-28
dc.date.accessioned2026-07-07T10:13:11Z
dc.date.available2026-07-07T10:13:11Z
dc.descriptionIn the late 1980s Witten used the Chern-Simons form of a connection to construct new invariants of 3-manifolds and knots, recovering in particular the Jones invariants. Since then the associated topological quantum field theory (TQFT) has served as a key example in understanding the structure of TQFTs in general. We survey some of that structure with a particular focus on the "multi-tier" aspects. We discuss general axioms, generators-and-relations theorems, a priori constructions, dimensional reduction and K-theory, and Chern-Simons as a 0-1-2-3 theory. An appendix gives a lightening treatment of the Chern-Simons-Weil theory of connections. The paper concludes with general remarks about the Geometry-QFT-Strings interaction.
dc.description34 pages, 1 figure, based on talk at 25th anniversary conference for MSRI; minor revisions
dc.identifierhttps://arxiv.org/abs/0808.2507
dc.identifierhttp://arxiv.org/abs/0808.2507
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172438
dc.subjectAlgebraic Topology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleRemarks on Chern-Simons Theory
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