5 problems

Quilted Atiyah–Floer conjecture. The three extended Floer field theories induce isomorphic $2$-functors

Let $X$ be a compact Calabi–Yau 3-fold degenerating to $X_1\cup_\Sigma X_2$, where $X_1$ and $X_2$ are Fano 3-folds transversally glued along an anticanonical K3 surface $\Sigma$.…

Let $X$ be a compact 3-manifold with Heegaard splitting $X=X_1\cup_\Sigma X_2$ along a compact surface $\Sigma$, and let $G_\mathbb{C}$ be the complexification of a compact Lie gro…

Let $[Y]=[Y_{01}]\circ\cdots\circ[Y_{(k-1)k}]$ be a Cerf decomposition of a closed $3$-manifold $Y$ into simple cobordisms $Y_{i(i+1)}$, and let $L_{Y_{i(i+1)}}$ denote the associa…

Let $(Y,L)$ be decomposed along a separating sphere as … and let $I^\natural(Y,L)$ denote the $\mathbb{Z}/4$-graded instanton Floer homology defined using a sufficiently small holo…