15 citations · 16 across the 2 of their papers we have counts for
8 papers · 1 filter
Transitive double Lie algebroids via core diagrams
Madeleine Jotz Lean, Kirill Mackenzie
The core diagram of a double Lie algebroid consists in the core of the double Lie algebroid, together with the two core-anchor maps to the sides of the double Lie algebroid. If the…
Linear generalised complex structures
Malte Heuer, Madeleine Jotz Lean
This paper studies linear generalised complex structures over vector bundles, as a generalised geometry version of holomorphic vector bundles. In an adapted linear splitting, a lin…
Modules and representations up to homotopy of Lie -algebroids
Madeleine Jotz Lean, Rajan Amit Mehta, Theocharis Papantonis
This paper studies differential graded modules and representations up to homotopy of Lie -algebroids, for general . The adjoint and coadjoint modules are describ…
Infinitesimal ideal systems and the Atiyah class
Madeleine Jotz Lean
This short note gives a geometric interpretation of the Atiyah class of a Lie pair. It proves that it vanishes if the subalgebroid is the kernel of a fibration of Lie algebroids. I…
Obstructions to representations up to homotopy and ideals
Madeleine Jotz Lean
This paper considers the Pontryagin characters of graded vector bundles of finite rank, in the cohomology vector spaces of a Lie algebroid over the same base. These Pontryagin char…
On LA-Courant algebroids and Poisson Lie 2-algebroids
Madeleine Jotz Lean
This paper provides an alternative, much simpler, definition for Li-Bland's LA-Courant algebroids, or Poisson Lie 2-algebroids, in terms of split Lie 2-algebroids and self-dual 2-r…