5 problems

Ooguri–Vafa integrality conjecture. The wavefunction has the product expansion

Let $L$ be a Lagrangian with boundary $S_\Gamma$, let $A$ be a choice of phase and framing, and let $\Psi_\Gamma^{(A)}$ be the corresponding algebraic wavefunction. For coordinates…

Let $L$ be a Lagrangian with boundary $S_\Gamma$, let $A$ be a choice of phase and framing, and let $W_\Gamma^{(A)}$ be a primitive function whose graph of the differential gives t…

Let $Q$ be the quiver with two vertices $0,1$, no loops, and $k\in\mathbb{Z}_{\geq 1}$ arrows from $0$ to $1$. For $n\in\mathbb{Z}_{\geq 1}$, define the signed quantum numbers … Us…

Let $Q$ be a finite quiver, let $W$ be a polynomial potential on $Q$, and let $\operatorname{\mathsf{nil}}(\mathcal P(Q,W))$ be the category of finite-dimensional right modules ove…