9 problems

Lie's second theorem. For any morphism of Lie algebroids $\phi:A\to B$, there is a unique morphism $\Phi$ from the Weinstein groupoid $\mathcal{H}(A)$ to any Weinstein groupoid…

Quantizability conjecture. Any Lie bialgebroid is quantizable.

Let $A$ be a Lie algebroid that admits a proper integrating groupoid $\mathcal{G}$ whose $s$-fibers are $2$-simply connected. Cohomological rigidity conjecture. Then … This conject…

Let $\mathcal{A}\to\mathsf{WfMd}$ be a Lie algebroid of controlled intervention modes over a typed Markdown workflow space, with anchor $\rho:\mathcal{A}\to T\mathsf{WfMd}$. For co…

Higher smooth homotopy hypothesis. Lie $n$-algebroids up to $n$-equivalence are equivalent to source $n$-connected Lie $n$-groupoids up to equivalence. In particular, generalized…

Cohomological invariance conjecture. One has

Invariance conjecture. There is an equivalence of categories between representations up to homotopy of length at most $n$ of $A$ and of $B$.

Integrability converse. The Lie algebroid $\mathfrak{g}\to X$ is integrable if and only if it is equivalent, as an LA-groupoid, to a simple foliation.

Let $N$ be a smooth manifold such that its tangent bundle admits a CYMH GT, and let $K\to S$ be a Lie algebroid bundle over a smooth manifold $S$ which also admits a CYMH GT. Set ……