507 citations · 667 across the 24 of their papers we have counts for
24 papers
Cartan calculus of cubical forms in tangent categories
Christian Blohmann
We construct the Cartan calculus of differential cubical forms on an object of a cartesian tangent category with a scalar multiplication by a commutative ring object . We pr…
Cartan calculus in tangent categories
Lory Aintablian, Christian Blohmann
We determine the structure needed in a tangent category in the sense of Rosický and Cockett-Cruttwell to construct the Cartan calculus on all objects. The missing ingredient is a s…
Functoriality of bornological groupoid convolution
David Aretz, Christian Blohmann
We show that the complete bornological convolution algebras of Lie groupoids and convolution bimodules of groupoid bibundles define a monoidal functor from the 2-category of differ…
Differentiable groupoid objects and their abstract Lie algebroids
Lory Aintablian, Christian Blohmann
The infinitesimal counterpart of a Lie groupoid is its Lie algebroid. As a vector bundle, it is given by the source vertical tangent bundle restricted to the identity bisection. It…
Hamiltonian Lie algebroids over Poisson manifolds
Christian Blohmann, Stefano Ronchi, Alan Weinstein
We extend to Poisson manifolds the theory of hamiltonian Lie algebroids originally developed by two of the authors for presymplectic manifolds. As in the presymplectic case, our de…
Elastic diffeological spaces
Christian Blohmann
We introduce a class of diffeological spaces, called elastic, on which the left Kan extension of the tangent functor of smooth manifolds defines an abstract tangent functor in the…