5 problems

Let $K\subset Y$ be a fibered knot of genus $g$, with monodromy $\varphi$, and let $T_\varphi$ denote its mapping torus. Write $\overline{Y}$ and $\overline{K}$ for the orientation…

Ghiggini–Spano's conjecture. More generally than the established identification

PFH–symmetric-product Floer homology conjecture. The periodic Floer homology is isomorphic to the symplectic Floer homology of

Let $\D$ be the disc with area form $\omega$, let $\Diff_c(\D,\omega)$ be the group of compactly supported area-preserving diffeomorphisms, and let…

Let $F$ be a closed, oriented surface with an area form, let $\mathpzc{f}\colon F\to F$ be a volume-preserving diffeomorphism, and let $M$ be its mapping torus. Periodic Floer homo…