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The asymptotic expansion of quantum knot invariants in complex Chern-Simons theory gives rise to factorially divergent formal power series.
Alba Grassi, Jie Gu, and Marcos Mariño, Non-perturbative approaches to the quantum Seiberg-Witten curve , JHEP 07
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Stavros Garoufalidis, Chern-Simons theory, analytic continuation and arithmetic , Acta Math. Vietnam. 33
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Stavros Garoufalidis, Thang T. Q. Lê, and Marcos Mariño, Analyticity of the free energy of a closed 3-manifold , SIGMA Symmetry Integrability Geom. Methods Appl. 4
2008
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Tudor Dimofte, Sergei Gukov, Jonatan Lenells, and Don Zagier, Exact results for perturbative Chern-Simons theory with complex gauge group , Commun. Number Theory Phys. 3
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Ovidiu Costin and Stavros Garoufalidis, Resurgence of the Kontsevich-Zagier series , Ann. Inst. Fourier (Grenoble) 61
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Claude Mitschi and David Sauzin, Divergent series, summability and resurgence. I , Lecture Notes in Mathematics, vol. 2153, Springer, 2016
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Ricardo Couso-Santamaría, Marcos Mariño, and Ricardo Schiappa, Resurgence matches quantization , J. Phys. A 50
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2011
Cited alongside, same era.
Maxim Kontsevich and Yan Soibelman, Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants , Commun. Number Theory Phys. 5
2011
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Stavros Garoufalidis, Jie Gu, and Marcos Mariño, Peacock patterns and resurgence in complex Chern-Simons theory , 2012.00062
2012
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Sandro Bettin and Brian Conrey, Period functions and cotangent sums , Algebra Number Theory 7
2013
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Tudor Dimofte and Stavros Garoufalidis, The quantum content of the gluing equations , Geom. Topol. 17
2013
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Tudor Dimofte, Davide Gaiotto, and Sergei Gukov, 3-manifolds and 3d indices , Adv. Theor. Math. Phys. 17
2013
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by same author, Wall-crossing, Hitchin systems, and the WKB approximation , Adv. Math. 234
2013
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Christopher Beem, Tudor Dimofte, and Sara Pasquetti, Holomorphic blocks in three dimensions , J. High Energy Phys. (2014), no. 12, 177, front matter+118
2014
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by same author, Quantum modularity and complex Chern-Simons theory , Commun. Number Theory Phys. 12
2018
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Dongmin Gang and Yasuyuki Hatsuda, S-duality resurgence in SL ( 2 ) \rm SL(2) Chern-Simons theory , J. High Energy Phys. (2018), no. 7, 053, front matter+23
2018
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Inês Aniceto, Gökçe Başar, and Ricardo Schiappa, A primer on resurgent transseries and their asymptotics , Phys. Rep. 809
2019
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Katsushi Ito, Marcos Mariño, and Hongfei Shu, TBA equations and resurgent quantum mechanics , J. High Energy Phys. (2019), no. 1, 228, front matter+44
2019
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Marcos Mariño, From resurgence to BPS states , talk given at the conference Strings 2019
2019
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by same author, Knots and their related q q -series , Preprint 2020
2020
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by same author, Knots, perturbative series and quantum modularity , Preprint 2020
2020
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Maxim Kontsevich, Exponential integrals, Lefschetz thimbles and linear resurgence , June 2020, ReNewQuantum seminar, https://renewquantum.eu/docs/Lecture_slides_MaximKontsevich_June2020.pdf , 2020
2020
Closest in time.