Spin Chern-Simons and Spin TQFTs
微分几何
2007-05-23 v1 数学物理
math.MP
量子代数
摘要
In a previous paper we constructed classical spin Chern-Simons for any compact Lie group : 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 . We find that the quantum theory for spin Chern-Simons corresponds to the spin TQFT constructed by Blanchet and Masbaum in the same way that the quantum theory for standard Chern-Simons corresponds to the TQFT constructed by Reshetikhen and Turaev or the TQFT constructed by Blanchet, Habegger, Masbaum, and Vogel.
引用
@article{arxiv.math/0605239,
title = {Spin Chern-Simons and Spin TQFTs},
author = {Jerome A. Jenquin},
journal= {arXiv preprint arXiv:math/0605239},
year = {2007}
}