5 problems

Let $M$ be a manifold, let $l$ be a positive integer, and let $k_1,\ldots,k_l$ be degrees. For a cover $\mathcal{U}$ of $M^l$, suppose that every intersection of elements of…

Kontsevich's cosheaf conjecture. Fukaya categories of Liouville sectors form a cosheaf of categories.

Let $X^{et}$ be the étale site from Example, let $A$ be an abelian group, and let ${\Greekmath 0119}_n^{et}(X)$ and $H_n^{et}(X,A)$ denote étale pro-homotopy and étale pro-homology…

Let $X$ be a space, let $NORM(X)$ be the site of normal coverings of $X$, and let $OPEN(X)$ be the standard site. Let $S$ be a set, write $S_{\#}$ for the associated constant coshe…

Nadler–Tanaka's cosheaf conjecture. The functor