4 problems

D'Hoker–Phong's conjecture. The genus-two formula could be extended to genus $g>2$ by

Let $H_3$ be the Siegel upper half-space of degree $3$, and let $H_1\times H_2\subset H_3$ be the block-diagonal locus … Let $A:H_3\to W$ be the map in the paper, let $P$, $I$, and…

Let $E_{10}$ denote the overextended Dynkin diagram of $E_8$, and let $\mathfrak{G}_{\\!E_{10}}(\mathbb{Z})$ be the corresponding hyperbolic Kac–Moody group over $\mathbb{Z}$. Hull…

Consider the OPSMY ansatz and Grushevsky's expression for the chiral superstring measure at genus five. Their resulting genus-four two-point functions have non-vanishing connected…