Gauge theory and self-linking of Legendrian knots

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
id ndltd-NEU--neu-cj82nb60c
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spelling ndltd-NEU--neu-cj82nb60c2021-05-27T05:11:21ZGauge theory and self-linking of Legendrian knotsThis 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.http://hdl.handle.net/2047/D20213322
collection NDLTD
sources NDLTD
description 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.
title Gauge theory and self-linking of Legendrian knots
spellingShingle Gauge theory and self-linking of Legendrian knots
title_short Gauge theory and self-linking of Legendrian knots
title_full Gauge theory and self-linking of Legendrian knots
title_fullStr Gauge theory and self-linking of Legendrian knots
title_full_unstemmed Gauge theory and self-linking of Legendrian knots
title_sort gauge theory and self-linking of legendrian knots
publishDate
url http://hdl.handle.net/2047/D20213322
_version_ 1719407154464555008

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