New Torsion Structure on Riemann-Cartan Manifold and Knots

  • The projection geometry stature of torsion on 3 dimensional Riemann Cartan manifold have been studied. It shows that the geomeny origin of linkingnumber may correspond to the projection torsion structure via both Chern-Simons theory and Witten's topological field theory. Furthermore, it is also indicated lines by means of a quanhzation method in which the quantum number is detennined by Hopf indices and Brouwer degree that wilson loops may defect lines.
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Li Xiguo. New Torsion Structure on Riemann-Cartan Manifold and Knots[J]. Chinese Physics C, 1999, 23(9): 906-913.
Li Xiguo. New Torsion Structure on Riemann-Cartan Manifold and Knots[J]. Chinese Physics C, 1999, 23(9): 906-913. shu
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Received: 1998-07-16
Revised: 1900-01-01
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New Torsion Structure on Riemann-Cartan Manifold and Knots

    Corresponding author: Li Xiguo,
  • Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou 730000Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000

Abstract: The projection geometry stature of torsion on 3 dimensional Riemann Cartan manifold have been studied. It shows that the geomeny origin of linkingnumber may correspond to the projection torsion structure via both Chern-Simons theory and Witten's topological field theory. Furthermore, it is also indicated lines by means of a quanhzation method in which the quantum number is detennined by Hopf indices and Brouwer degree that wilson loops may defect lines.

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