Spin Chern-Simons and Spin TQFTs

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dc.creatorJenquin, Jerome A.
dc.date2006-05-09
dc.date.accessioned2026-07-07T07:14:04Z
dc.date.available2026-07-07T07:14:04Z
dc.descriptionIn a previous paper we constructed classical spin Chern-Simons for any compact Lie group $G$: a gauge theory whose action depends on the spin structure of the 3-manifold. Here we apply geometric quantization to the classical Hamiltonian theory and investigate the formal properties of the partition function in the Lagrangian theory, all in the case $G = SO_3$. We find that the quantum theory for $SO_3$ spin Chern-Simons corresponds to the spin TQFT constructed by Blanchet and Masbaum in the same way that the quantum theory for standard $SU_2$ Chern-Simons corresponds to the TQFT constructed by Reshetikhen and Turaev or the TQFT constructed by Blanchet, Habegger, Masbaum, and Vogel.
dc.identifierhttps://arxiv.org/abs/math/0605239
dc.identifierhttp://arxiv.org/abs/math/0605239
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112720
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleSpin Chern-Simons and Spin TQFTs
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