2 problems

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Seidel's symplectic homology–Hochschild homology conjecture
Let $\pi:W\to D$ be an exact symplectic Lefschetz fibration over the disk, and let $L_1,\dots,L_m$ be its vanishing cycles. Let the associated $A_\infty$ -category be the category w…
Conjectureopenhoch-schild-homology lagrangian-floer-theory symplectic-homologyarXiv posted 2 days ago
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Existence of quasi-inverses for the shuffle product in the $A_\infty$ setting
Quasi-inverse conjecture. Such a morphism should admit a well-defined quasi-inverse.
Conjectureopena-infinity-algebras hoch-schild-homology homological-algebraarXiv posted 2 days ago

Seidel's symplectic homology–Hochschild homology conjecture