Braided monoidal 2-categories and Manin-Schechtman higher braid groups

Keywords

Mathematics, Braid group, Braid, Monoidal category, Morphism

References

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• Braids, Links, and Mapping Class Groups.Joan S. Birman — 1975
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• From Groups to Groupoids: a Brief SurveyRonald Brown — 1987
• Braided Compact Closed Categories with Applications to Low Dimensional TopologyPeter Freyd, David N. Yetter — 1989
• Braided Tensor CategoriesAndré Joyal, Ross Street — 1993
• Topology of the complement of real hyperplanes in ℂNMario Salvetti — 1987
• Tetrahedron equations and the relativisticS-matrix of straight-strings in 2+1-DimensionsA. B. Zamolodchikov — 1981
• The algebra of oriented simplexesRoss Street — 1987
• Generalized Euler integrals and A-hypergeometric functionsIsrael M. Gelfand, Mikhail Kapranov, Andrei Zelevinsky — 1990
• A 2-categorical pasting theoremJohn Power — 1990
• Combinatorial-geometric aspects of polycategory theory : pasting schemes and higher Bruhat orders (list of results)Mikhail Kapranov, Vladimir Voevodsky — 1991
• Arrangements of Hyperplanes, Higher Braid Groups and Higher Bruhat OrdersYu. I. Manin, Vadim Schechtman — 1989
• H-Spaces from a Homotopy Point of ViewJames Stasheff — 1970
• Tetrahedra equations and integrable systems in three-dimensional spaceA. B. Zamolodchikov — 1980
• Iterated loop spacesR. James Milgram — 1966
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Cited by

• Braided Logic: The Simplest ModelsMariá Ernestina Chávez Rodríguez, Angel López Gómez — 2001
• Coherence in Three-Dimensional Category TheoryNick Gurski — 2013
• Monoidal Functors, Species, and Hopf AlgebrasMarcelo Aguiar, Swapneel Mahajan — 2010
• Braiding for internal categories in the category of whiskered groupoids and simplicial groupsErdal Ulualan, Sedat Pak — 2013
• Higher Dimensional Algebra: I. Braided Monoidal 2-CategoriesJohn C. Baez, Martin Neuchl — 1995
• 2-categorical Poincare Representations and State Sum ApplicationsLouis Crane, M. D. Sheppeard — 2003
• Constructing symmetric monoidal bicategoriesMichael Shulman — 2010
• Some combinatorial aspects of movies and movie-moves in the theory of smoothly knotted surfaces in R4Glenn Lancaster, Richard G. Larson, Jacob Towber — 2004
• Simplex and Polygon EquationsAristophanes Dimakis, Folkert Müller-Hoissen — 2014
• From 3-algebras to Δ-GroupsMihai D. Staic — 2006
• Factorization homology I: Higher categoriesDavid Ayala, John Francis, Nick Rozenblyum — 2015
• The eight tetrahedron equationsJarmo Hietarinta, Frank Nijhoff — 1997
• Monoidal Bicategories and Hopf AlgebroidsBrian Day, Ross Street — 1997
• Four‐dimensional topological quantum field theory, Hopf categories, and the canonical basesLouis Crane, Igor B. Frenkel — 1994
• Generalized Centers of Braided and Sylleptic Monoidal 2-CategoriesSjoerd E. Crans — 1998
• 2-Groups, trialgebras and their Hopf categories of representationsHendryk Pfeiffer — 2004
• Algebras and triangle relationsR. J. Lawrence — 1995
• The classifying space of a categorical crossed moduleP. Carrasco, Antonio M. Cegarra, A.R. Garzón — 2010
• Central extensions of smooth 2–groups and a finite-dimensional string 2–groupChristopher J Schommer-Pries — 2009
• Higher-dimensional Mac Lane's pentagon and Zamolodchikov equations☆Sjoerd E. Crans — 2002

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