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math.CT2020
Vector bundles and differential bundles in the category of smooth manifolds
Benjamin MacAdam
A tangent category is a category equipped with an endofunctor that satisfies certain axioms which capture the abstract properties of the tangent bundle functor from classical diffe…
math.CT2019
Involution algebroids: a generalisation of Lie algebroids for tangent categories
Matthew Burke, Benjamin MacAdam
We define involution algebroids which generalise Lie algebroids to the abstract setting of tangent categories. As a part of this generalisation the Jacobi identity which appears in…