nLab Sergei Gukov

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Selected writings

On M-theory on 8-manifolds and conifold transition:

• Sergei Gukov, James Sparks, David Tong, Conifold Transitions and Five-Brane Condensation in M-Theory on $Spin(7)$ Manifolds, Class. Quant. Grav. 20 (2003) 665-706 [arXiv:hep-th/0207244]

On moduli stabilization in heterotic string theory:

• Sergei Gukov, Shamit Kachru, Xiao Liu, Liam McAllister, Heterotic Moduli Stabilization with Fractional Chern-Simons Invariants, Phys.Rev.D 69 (2004) 086008 [arXiv:hep-th/0310159]

On topological M-theory:

• Robbert Dijkgraaf, Sergei Gukov, Andrew Neitzke, Cumrun Vafa, Topological M-theory as Unification of Form Theories of Gravity, Adv. Theor. Math. Phys. 9 (2005) 603-665 [arXiv:hep-th/0411073, doi:10.4310/ATMP.2005.v9.n4.a5]

On perturbative Chern-Simons theory with complex gauge group:

• Tudor Dimofte, Sergei Gukov, Jonatan Lenells, Don Zagier, Exact Results for Perturbative Chern-Simons Theory with Complex Gauge Group, Commun. Num. Theor. Phys. 3 (2009) 363-443 [arXiv:0903.2472, doi:10.4310/CNTP.2009.v3.n2.a4]

On topological quantum field theory:

• Sergei Gukov, Anton Kapustin, Topological Quantum Field Theory, Nonlocal Operators, and Gapped Phases of Gauge Theories (arXiv:1307.4793)

On KK-compactification of D=6 N=(2,0) SCFT on 4-manifolds to 2d CFTs:

• Abhijit Gadde, Sergei Gukov, Pavel Putrov, Fivebranes and 4-manifolds, in: Arbeitstagung Bonn 2013, Progress in Mathematics 319, Birkhäuser (2016) [arXiv:1306.4320, doi:10.1007/978-3-319-43648-7_7]

• Mykola Dedushenko, Sergei Gukov, Pavel Putrov, Vertex algebras and 4-manifold invariants, Chapter 11 in: Geometry and Physics: Volume I (2018) 249–318 [arXiv:1705.01645, doi:10.1093/oso/9780198802013.003.0011]

• Boris Feigin, Sergei Gukov, $VOA[M_4]$, J. Math. Phys. 61 012302 (2020) [arXiv:1806.02470, doi:10.1063/1.5100059]

and in relation to the M5-brane elliptic genus:

• Sergei Gukov, Du Pei, Pavel Putrov, Cumrun Vafa, 4-manifolds and topological modular forms, J. High Energ. Phys. 2021 84 (2021) [arXiv:1811.07884, doi:10.1007/JHEP05(2021)084, spire:1704312]

On the 3d-3d correspondence:

• Sungbong Chun, Sergei Gukov, Sunghyuk Park, Nikita Sopenko, 3d-3d correspondence for mapping tori (arxiv:1911.08456)

On Rozansky-Witten theory:

• Sergei Gukov, Po-Shen Hsin, Hiraku Nakajima, Sunghyuk Park, Du Pei, Nikita Sopenko, Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants (arXiv:2005.05347)

On machine learning the detection of unknots:

• Sergei Gukov, James Halverson, Fabian Ruehle, Piotr Sułkowski, Learning to Unknot, Mach. Learn.: Sci. Technol. 2 (2022) 025035 [arXiv:2010.16263, doi:10.1088/2632-2153/abe91f]

• Sergei Gukov, Machine learning and hard problems in topology, talk at QFT and Cobordism, CQTS (Mar 2023) [web]

On line defects in Rozansky-Witten theory and their braiding:

• Sergei Gukov, Babak Haghighat, Nicolai Reshetikhin: Foams and KZ-equations in Rozansky-Witten theories [arXiv:2407.19757]

category: people