Higher-dimensional algebra

By David Corfield. 2003

131 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/eb59e6d3e1492f9d26f753a3e75124b1f38d61d7

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Citations in the corpus

Central extensions of smooth 2–groups and a finite-dimensional string 2–group (2009, methodology): “Finally, another method of studying 2–groups is via skeletalization (introduced for 2–groups in [5]) in which the 2–group is replaced by an equivalent 2–group which is skeletal(9).”
Supergroupoids, double structures, and equivariant cohomology (2006, background): “We also expect that this approach will be a good starting point for describing the Lie functor from 2-groupoids to 2-algebroids [3].”
Polynomial Functors and Trees (2008, background): “The sheaf condition amounts to the condition that certain cocones are sent to limit cones: each [n] ∈ ∆0 has a canonical expression as a colimit of copies of the two representables [0] and [1], and the condition amounts to saying that these cocones are sent to limit cones.”
n-Groupoids and Stacky Groupoids (2008, background): “When n = 2, they are different from the various kinds of 2-group(oid)s or double groupoids in [5, 8] (see [20, Appendix] for an explanation of the relation between our 2-group and the one in [5]), and are not exactly the same as in [30], as he requires a choice of composition and strict units; howev”
Principal 2-bundles and their gauge 2-groups (2008, background): “As also mentioned in [4], this is what is also called a (coherent) category with group structure (cf.”
Polynomial functors and polynomial monads (2009, methodology): “The paper [36] uses polynomial functors to establish the first purely combinatorial characterisation of the opetopes, the shapes underlying several approaches to higherdimensional category theory [42], starting with the work of Baez and Dolan [6].”
Shadows and traces in bicategories (2009, background): “This is a version of the microcosm principle of [2].”
Cohomologies of a Lie algebra with a derivation and applications (2019, background): “See [6] for more details about Lie 2-algebras.”