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

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