Douglas, Christopher L.
- Fusion 2-categories and a state-sum invariant for 4-manifolds
2018/12/31 by Christopher L. Douglas, Douglas, Christopher L., David Reutter +1 · 16 citations
Mathematics · #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
- Dualizable tensor categories
2013/12/27 by Douglas, Christopher L., Schommer-Pries, Christopher, Snyder, Noah · 7 citations
#16D90 (Primary) #17B37 #18D10 #18E10 (Secondary) #55U30 #57M27 #57R56 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)
- Modular categories as representations of the 3-dimensional bordism 2-category
2015/09/22 by Bruce Bartlett, Bartlett, Bruce, Christopher L. Douglas +5 · 4 citations
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Geometric Topology (math.GT) #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- Extended 3-dimensional bordism as the theory of modular objects
2014/11/04 by Bruce Bartlett, Bartlett, Bruce, Christopher L. Douglas +5 · 3 citations
Mathematics · #18D05 #57M25 #57N10 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
- Cornered Heegaard Floer homology
2013/08/31 by Douglas, Christopher L., Lipshitz, Robert, Manolescu, Ciprian · 1 citation
#57R56 #57R58 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG)
- Conformal nets III: fusion of defects
2013/10/30 by Bartels, Arthur, Douglas, Christopher L., Henriques, André · 1 citation
#46L37 #46L60 #46M05 (Primary) #81R10 (Secondary) #81T05 #81T40 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA)