Torus Knots in Lens Spaces and Topological Strings

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• 作者：Sebastien Stevan
• 刊名：Annales Henri Poincare
• 出版年：2015
• 出版时间：August 2015
• 年：2015
• 卷：16
• 期：8
• 页码：1937-1967
• 全文大小：810 KB
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• 作者单位：Sebastien Stevan (1)
  
  1. Section de mathématiques, Université de Genève, Case postale 64, 1211, Genève 4, Switzerland
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Dynamical Systems and Ergodic Theory
  Quantum Physics
  Mathematical Methods in Physics
  Relativity and Cosmology
  Elementary Particles and Quantum Field Theory
  
• 出版者：Birkh盲user Basel
• ISSN：1424-0661

文摘

We study the invariant of knots in lens spaces defined from quantum Chern–Simons theory. By means of the knot operator formalism, we derive a generalization of the Rosso-Jones formula for torus knots in L(p,1). In the second part of the paper, we propose a B-model topological string theory description of torus knots in L(2,1).