5 problems

Let $r$-spin curves have moduli spaces $\overline{\mathcal{M}}_{g,n}^{1/r,\mathbf{m}}$, and let $\Psi(\mathbf{t})$ be the potential of the $\mathrm{KdV}_r$ hierarchy. Intersection…

Sector correspondence conjecture. The Neveu–Schwarz sectors are in one-to-one correspondence with the one-dimensional twisted sectors, while the Ramond sectors are in one-to-one co…

Let $\mathcal C=(\Sigma,x,y)$ be a spectral curve and let $\gamma\subset\Sigma\setminus{\bf b}$ be an admissible path associated with $e^{-x/\mathfrak u}$. Let $\eta$ be the CohFT…

Let $\tilde W:\mathbb{C}^N\to\mathbb{C}$ be a hypersurface singularity, and let $\zeta_\infty$ and $\zeta_0$ be the two specified choices of primitive form. Write…

For genus $g$ and the general multi-backbone case, let $\widehat b^{(g)}_{\vec k,\vec\beta}$ denote the coefficients identified with combinations of ancestor invariants, where…