18 citations · 35 across the 7 of their papers we have counts for
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math.CT2016★ 1 cited
Connections in Tangent Categories
J. R. B. Cockett, G. S. H. Cruttwell
Connections are an important tool of differential geometry. This paper investigates their definition and structure in the abstract setting of tangent categories. At this level of a…
math.CT2016
A simplicial foundation for differential and sector forms in tangent categories
G. S. H. Cruttwell, Rory B. B. Lucyshyn-Wright
Tangent categories provide an axiomatic framework for understanding various tangent bundles and differential operations that occur in differential geometry, algebraic geometry, abs…
math.CT2016★ 11 cited
Differential bundles and fibrations for tangent categories
J. R. B. Cockett, G. S. H. Cruttwell
Tangent categories are categories equipped with a tangent functor: an endofunctor with certain natural transformations which make it behave like the tangent bundle functor on the c…