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Torus Knots in Lens Spaces & Topological Strings

2013/08/26 by Sébastien Stevan, Stevan, Sébastien
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.1308.5509

openalex publication_date 2013/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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).

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