Sussan, Joshua
- A categorification of the positive half of quantum gl(m|1)
2014/06/06 by Mikhail Khovanov, Khovanov, Mikhail, Joshua Sussan +1 · 2 citations
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Advanced Algebra and Geometry
- Universal quantum computation using Ising anyons from a non-semisimple Topological Quantum Field Theory
2024/10/18 by Filippo Iulianelli, Sung Wng Kim, Iulianelli, Filippo +5 · 4 citations
Computer Science · Physics and Astronomy · #17B37 #18M20 #57K16 #81P68 #81R50 #FOS: Mathematics #FOS: Physical sciences #Quantum Algebra (math.QA) #Quantum Computing Algorithms and Architecture #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el)
- A categorification of the colored Jones polynomial at a root of unity
2021/11/25 by Qi, You, Robert, Louis-Hadrien, Sussan, Joshua +1 · 1 citation
#18G99 #57M27 #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- Category O and sl(k) link invariants
2007/01/01 by Joshua Sussan, Sussan, Joshua · 1 citation
Mathematics · #17B10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- Symmetries of equivariant Khovanov-Rozansky homology
2023/06/19 by Qi You, Qi, You, Louis‐Hadrien Robert +5 · 1 citation
Computer Science · Mathematics · #17B10 #18G35 #18N25 #57K16 #57K18 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Topological and Geometric Data Analysis
- Density and unitarity of the Burau representation from a non-semisimple TQFT
2024/02/20 by Geer, Nathan, Lauda, Aaron D., Patureau-Mirand, Bertrand +1 · 1 citation
#22D10 #46N50 #57R56 #81R50 #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #Quantum Physics (quant-ph) #Representation Theory (math.RT)
- Remarks on some infinitesimal symmetries of Khovanov--Rozansky homologies in finite characteristic
2024/12/11 by Qi, You, Robert, Louis-Hadrien, Sussan, Joshua +1 · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)