From the 1 of 4 linked papers with an AI index.
4 papers
Cartan calculus in tangent categories
Lory Aintablian, Christian Blohmann
The paper identifies the additional structure required in a tangent category—namely a scalar multiplication by a commutative ring object—to define a Cartan calculus on every object…
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…