Torus Knots in Lens Spaces & Topological Strings

S\'ebastien Stevan

Torus Knots in Lens Spaces & Topological Strings

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arxiv 1308.5509 v2 pith:USE7OO6U submitted 2013-08-26 hep-th math.GT

Sébastien Stevan This is my paper · ORCID

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keywords knotstoruslensspacestheorytopologicalb-modelchern-simons

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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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Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex
math-ph 2025-01 conditional novelty 6.0 of 10

First topological-vertex computations of colored unknot and Hopf link invariants in RP^3 yield power series with positive integer q-expansions, conjecturally the Poincare series of a new link homology.

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