15 citations · 16 across the 2 of their papers we have counts for
5 papers
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…
N-manifolds of degree 2 and metric double vector bundles
M. Jotz Lean
This paper shows the equivalence of the categories of -manifolds of degree with the category of double vector bundles endowed with a linear metric. Split Poisson -manifol…