New Torsion Structure on Riemann-Cartan Manifold and Knots

Li Xiguo

Chinese Physics C> 1999, Vol. 23> Issue(9) : 906-913

New Torsion Structure on Riemann-Cartan Manifold and Knots

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

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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.

References

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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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沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 1998-07-16

Accepted Date: 1900-01-01

Available Online: 1999-09-05

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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New Torsion Structure on Riemann-Cartan Manifold and Knots

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