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Keyword

categorification

Description: Categorification is a mathematical approach that replaces set-based structures or results with richer category-theoretic analogues.
Wikidata ID: wiki/Q5051825
OpenAlex ID: keywords/categorification
A categorification of the Jones polynomial
2000 · Mikhail Khovanov · Duke Mathematical Journal · 981
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A diagrammatic approach to categorification of quantum groups I
2009 · Mikhail Khovanov, Aaron Lauda · Representation Theory of the American Mathematical Society · 560
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2-Kac-Moody algebras
2008 · Rouquier, Raphael · arXiv (Cornell University) · 403
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Hall algebras, hereditary algebras and quantum groups
1995 · James A. Green · Inventiones mathematicae · 311
On Khovanov’s categorification of the Jones polynomial
2012 · Dror Bar-natan · 309
The Superpolynomial for Knot Homologies
2006 · Nathan M. Dunfield, Sergei Gukov, et al. · Experimental Mathematics · 260
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On Khovanov’s categorification of the Jones polynomial
2002 · Dror Bar-Natan · Algebraic & Geometric Topology · 246
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Higher-Dimensional Algebra V: 2-Groups
2004 · John C. Baez, Aaron D. Lauda · Theory and applications of categories · 243
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Khovanov-Rozansky Homology and Topological Strings
2005 · Sergei Gukov, Albert Schwarz, et al. · Letters in Mathematical Physics · 221
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A diagrammatic approach to categorification of quantum groups II
2010 · Mikhail Khovanov, Aaron Lauda · Transactions of the American Mathematical Society · 202
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A diagrammatic approach to categorification of quantum groups III
2008 · Khovanov, Mikhail, Lauda, Aaron D. · arXiv (Cornell University) · 198
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A categorification of quantum $\mathrm{sl}(n)$
2010 · Mikhail Khovanov, Aaron D. Lauda · Quantum Topology · 162
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A categorification of quantum sl(2)
2010 · Aaron D. Lauda · Advances in Mathematics · 159
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Knot invariants and higher representation theory
2017 · Ben Webster · Memoirs of the American Mathematical Society · 154
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Graded cellular bases for the cyclotomic Khovanov–Lauda–Rouquier algebras of type A
2010 · Jun Hu, Andrew Mathas · Advances in Mathematics · 153
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Categorification of the Kauffman bracket skein module ofI–bundles over surfaces
2004 · Marta M Asaeda, Jozef H Przytycki, et al. · Algebraic & Geometric Topology · 143
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Fivebranes and 3-manifold homology
2017 · Sergei Gukov, Pavel Putrov, et al. · Journal of High Energy Physics · 141
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Cluster algebras and quantum affine algebras
2010 · David Hernandez, Bernard Leclerc · Duke Mathematical Journal · 140
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BPS spectra and 3-manifold invariants
2020 · Sergei Gukov, Du Pei, et al. · Journal of Knot Theory and Its Ramifications · 138
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Canonical bases and KLR-algebras
2011 · M. Varagnolo, E. Vasserot · Journal für die reine und angewandte Mathematik (Crelles Journal) · 138
Categorification of the Temperley-Lieb category, tangles, and cobordisms via projective functors
2005 · Catharina Stroppel · Duke Mathematical Journal · 138
Knot homology via derived categories of coherent sheaves, I: The sl(2)-case
2008 · Sabin Cautis, Joel Kamnitzer · Duke Mathematical Journal · 133
Cluster algebras and derived categories
2013 · Bernhard Keller · EMS series of congress reports · 121
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Categorification
1998 · John C. Baez, James Dolan · Contemporary mathematics - American Mathematical Society · 121
sl(3) link homology
2004 · Mikhail Khovanov · Algebraic & Geometric Topology · 115
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Works count: 2,139
Citation count: 19,470
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