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math.DG2019★ 1 cited
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…
math.DG2019
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…