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This is the second part of a two-part work on the unified mathematical theory of gapped and gapless edges of 2+1D topological orders.
D. Ayala, J. Francis, A factorization homology primer
1903
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1903
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D. Gaiotto, T. Johnson-Freyd, Condensations in higher categories
1905
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1905
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L. Kong, H. Zheng, A mathematical theory of gapless edges of 2d topological orders. Part I
1905
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L. Kong, W. Yuan, H. Zheng, Pointed Drinfeld center functor
1912
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A. Cappelli, G. Zemba, Modular invariant partition functions in the quantum Hall effect
1997
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J. Fuchs, I. Runkel, C. Schweigert, TFT construction of RCFT correlators. I: partition functions
2002
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A. Kirillov Jr., V. Ostrik, On q-analog of McKay correspondence and ADE classification of sl 2 \mathrm{sl}_{2} conformal field theories
2002
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T. Johnson-Freyd, On the classification of topological orders
2003
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2003
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V. Ostrik, Module categories, weak Hopf algebras and modular invariants
2003
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Y.-Z. Huang, L Kong, Open-string vertex algebras, tensor categories and operads
2004
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A.Y. Kitaev, Anyons in an exactly solved model and beyond
2006
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J. Fröhlich, J. Fuchs, I. Runkel, C. Schweigert, Duality and defects in rational conformal field theory
2007
Cited alongside, same era.
Y.-Z. Huang, L Kong, Full field algebras
2007
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L. Kong Full field algebras, operads and tensor categories
2007
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J. Fjelstad, J. Fuchs, I. Runkel, C. Schweigert, Uniqueness of open/closed rational CFT with given algebra of open states, Adv. Theor. Math. Phys. 12 (2008) 1283-1375
2008
Cited alongside, same era.
Y.-Z. Huang, Vertex operator algebras and the Verlinde conjecture
2008
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L. Kong, I. Runkel, Morita classes of algebras in modular tensor categories
2008
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2013
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M. Levin, Protected edge modes without symmetry
2013
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L. Kong, Anyon condensation and tensor categories
2014
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2015
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A. Davydov, L. Kong, I. Runkel, Functoriality of the center of an algebra
2015
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P. Etingof, S. Gelaki, D. Nikshych, V. Ostrik, Tensor Categories
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F.A. Bais, J.K. Slingerland, Condensate induced transitions between topologically ordered phases
2009
Cited alongside, same era.
L. Kong, I. Runkel, Cardy Algebras and Sewing Constraints, I
2009
Cited alongside, same era.
A. Davydov, Centre of an algebra
2010
Cited alongside, same era.
P. Etingof, D. Nikshych, V. Ostrik, Weakly group-theoretical and solvable fusion categories
2010
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P.I. Etingof, D. Nikshych, V. Ostrik, Fusion categories and homotopy theory
2010
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Y.-Z. Huang and L. Kong, Modular invariance for conformal full field algebras
2010
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2015
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2015
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Y.H. Ai, L. Kong, H. Zheng, Topological orders and factorization homology
2017
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D. Ayala, J. Francis, H. L. Tanaka, Factorization homology of stratified spaces
2017
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L. Kong, X.-G. Wen, H. Zheng, Boundary-bulk relation in topological orders
2017
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L. Kong, H. Zheng, The center functor is fully faithful
2018
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L. Kong, H. Zheng, Drinfeld center of enriched monoidal categories
2018
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L. Kong, H. Zheng, Gapless edges of 2d topological orders and enriched monoidal categories
2018
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