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We study S-dualities in analytically continued SL(2) Chern-Simons theory on a 3-manifold M.
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W. M. Goldman, The complex-symplectic geometry of SL(2,C)-characters over surfaces
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1996
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K. Intriligator and N. Seiberg, Mirror Symmetry in Three Dimensional Gauge Theories
1996
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A. Strominger, S.-T. Yau, and E. Zaslow, Mirror Symmetry is T-Duality
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R. M. Kashaev, Quantization of Teichmüller Spaces and the Quantum Dilogarithm
1998
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A. Hanany and K. Hori, Branes and N=2 Theories in Two Dimensions
1998
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R. Lawrence and D. Zagier, Modular forms and quantum invariants of $3$-manifolds
1999
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L. Chekhov and V. V. Fock, Quantum Teichmüller Space
1999
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V. V. Fock and A. B. Goncharov, Moduli Spaces of Local Systems and Higher Teichmuller Theory
2006
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J. Teschner, An Analog of a Modular Functor from Quantized Teichmuller Theory
2007
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A. Kapustin and E. Witten, Electric-Magnetic Duality And The Geometric Langlands Program
2007
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L. O. Chekhov and R. C. Penner, On quantizing Teichmüller and Thurston theories
2007
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2009
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S. Gukov and E. Witten, Branes and Quantization
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2009
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D. Gaiotto and E. Witten, S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
2009
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V. V. Fock and A. B. Goncharov, The Quantum Dilogarithm and Representations Quantum Cluster Varieties
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W. M. Goldman, Trace coordinates on Fricke spaces of some simple hyperbolic surfaces
2009
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2010
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D. Zagier, Quantum Modular Forms
2010
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N. Drukker, J. Gomis, T. Okuda, and J. Teschner, Gauge Theory Loop Operators and Liouville Theory
2010
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K. Hosomichi, S. Lee, and J. Park, AGT on the S-duality Wall
2010
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2010
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