6 problems

Core--cocore Koszul duality conjecture.

Let $\mathfrak{Stein}$ and $\mathfrak{Weinstein}$ denote the spaces of Stein and Weinstein structures, respectively, and let … be the map sending a Stein structure to its associate…

A flexible Weinstein structure is a Weinstein structure whose underlying Weinstein domain is flexible, and a compactly supported symplectomorphism is a symplectomorphism equal to t…

Let $Y$ be a compact manifold without boundary, let $M\subset J^1Y$ be a closed tubular neighborhood of the zero-section, and let $\Lambda\subset(M,\ker(dz-pdq))$ be a Legendrian s…

Let $M$ be a Weinstein manifold of dimension $2n$, and let $L\subset M$ be a closed exact Lagrangian submanifold with vanishing Maslov class. Its homology class is…

Let $\eta$ be a nonempty homotopy class of nondegenerate $2$-forms on a domain or manifold of dimension $2n>4$. Let $\mathfrak{Morse}_n$ be the space of Morse functions whose criti…