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The cobordism conjecture of the swampland program states that the bordism group of quantum gravity must be trivial.
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1903
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1904
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H. C. Kim, G. Shiu, and C. Vafa, Branes and the Swampland
1905
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B. S. Acharya, Supersymmetry, Ricci Flat Manifolds and the String Landscape
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1907
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1909
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1910
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1912
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D. Andriot, N. Cribiori, and D. Erkinger, The web of swampland conjectures and the TCC bound
2004
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S. Ashok and M. R. Douglas, Counting flux vacua
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2004
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2005
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H. Ooguri and T. Takayanagi, Cobordism Conjecture in AdS
2006
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T. Banks, M. Johnson, and A. Shomer, A Note on Gauge Theories Coupled to Gravity
2006
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P. Aschieri and R. J. Szabo, Topological T-Duality for Twisted Tori
2006
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D. S. Freed and M. J. Hopkins, Chern-Weil forms and abstract homotopy theory
2013
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2013
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J. de Boer and M. Shigemori, Exotic Branes in String Theory
2013
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2013
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D. S. Freed, G. W. Moore, and G. Segal, Heisenberg Groups and Noncommutative Fluxes
2007
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M. Montero and C. Vafa, Cobordism Conjecture, Anomalies, and the String Lamppost Principle
2008
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A. Bedroya, M. Montero, C. Vafa, and I. Valenzuela, de Sitter Bubbles and the Swampland
2008
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H. Sati, U. Schreiber, and J. Stasheff, Fivebrane Structures
2009
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2010
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2010
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A. Adams, O. DeWolfe, and W. Taylor, String universality in ten dimensions
2010
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2014
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2014
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D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett, Generalized Global Symmetries
2015
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2015
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2015
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2016
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A. Capotosti, From String structures to Spin structures on loop spaces
2016
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D. Andriot, New supersymmetric vacua on solvmanifolds
2016
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T. D. Brennan, F. Carta, and C. Vafa, The String Landscape, the Swampland, and the Missing Corner
2017
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D. Andriot and J. Blåbäck, Refining the boundaries of the classical de Sitter landscape
2018
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2018
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I. García-Etxebarria and M. Montero, Dai-Freed anomalies in particle physics
2019
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2019
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D. Harlow and H. Ooguri, Constraints on Symmetries from Holography
2019
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E. Plauschinn, Non-geometric backgrounds in string theory
2019
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2021
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Y. Hamada and C. Vafa, 8d supergravity, reconstruction of internal geometry and the Swampland
2021
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2021
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