Higher categories, strings, cubes and simplex equations
DOI10.1007/BF00872948zbMath0827.18002WikidataQ56687265 ScholiaQ56687265MaRDI QIDQ1346409
Publication date: 4 April 1995
Published in: Applied Categorical Structures (Search for Journal in Brave)
surveymonoidal categoriesbibliographyquantum groupsYang-Baxter equationsbraidingstatistical mechanicscocycleknot theorynon-abelian cohomologyZamolodchikov equationsstring notation
(n)-dimensional polytopes (52B11) Quantum groups (quantized enveloping algebras) and related deformations (17B37) PDEs in connection with quantum mechanics (35Q40) Exactly solvable models; Bethe ansatz (82B23) Nonabelian homological algebra (category-theoretic aspects) (18G50) Research exposition (monographs, survey articles) pertaining to category theory (18-02)
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Cites Work
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- Tortile Yang-Baxter operators in tensor categories
- Classical and quantum conformal field theory
- A 2-categorical pasting theorem
- Modeling concurrency with partial orders
- Cartesian bicategories. I
- The Yang-Baxter equation and invariants of links
- The algebra of oriented simplexes
- The geometry of tensor calculus. I
- Coherence theorems via knot theory
- Limits indexed by category-valued 2-functors
- Generators and relations for \(\Delta\) as a monoidal 2-category
- Braided tensor categories
- The algebra of directed complexes
- Tortile tensor categories
- Homotopical algebra in homotopical categories
- Ribbon graphs and their invariants derived from quantum groups
- Simplex equations and their solutions
- Braided compact closed categories with applications to low dimensional topology
- Formal category theory: Adjointness for 2-categories
- On MacLane's conditions for coherence of natural associativities, commutativities, etc
- ON FORMULATIONS AND SOLUTIONS OF SIMPLEX EQUATIONS
- Confluent Reductions: Abstract Properties and Applications to Term Rewriting Systems
- From Petri nets to linear logic
- Coherence for tricategories
- Homotopy Associativity of H-Spaces. I