Gauge theory and self-linking of Legendrian knots
This thesis presents the perturbative contact Chern-Simons gauge field theory on 3-dimensional manifold. We identify the linking number and self-linking number of Legendrian knots as the first perturbative estimate of the expectation value of the Wilson loop operator with respect to the Legendrian k...
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| Online Access: | http://hdl.handle.net/2047/D20213322 |
| Summary: | This thesis presents the perturbative contact Chern-Simons gauge field theory on 3-dimensional manifold. We identify the linking number and self-linking number of Legendrian knots as the first perturbative estimate of the expectation value of the Wilson loop operator with respect to the Legendrian knots and links of Legendrian knots. |
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