On Hyperbolic 3-Manifolds Obtained by Dehn Surgery on Links by Soo Hwan Kim, Yangkok Kim

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A note on background independence in AdS3 string theory by Bob Knighton

“…Abstract In this note, we comment on the path integral formulation of string theory on M $$ \mathcal{M} $$ × S3 × T 4 $$ {\mathbbm{T}}^4 $$ where M $$ \mathcal{M} $$ is any hyperbolic 3-manifold. In the special case of k = 1 units of NS-NS flux, we provide a covariant description of the worldsheet theory and argue that the path integral depends only on the details of the conformal boundary ∂ M $$ \partial \mathcal{M} $$ , making the background independence of this theory manifest. …”
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Topology of 3-dimensional manifolds by Eaman Eftekhary

“…Highlighting the significance of hyperbolic 3-manifolds, proving the monster theorem and formulating the geometrization conjecture by Thurston has been a turning point in 3-manifold topology. …”
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