2 problems

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The Seiberg–Witten count conjecture for small-volume instantons between nearby coassociatives
Let $M$ be a $G_{2}$ -manifold, and let $C$ and $C^{\prime}$ be nearby coassociative submanifolds of $M$ . Consider instantons in $M$ with small volume and boundary lying on…
Conjectureopencoassociative-submanifolds g2-geometry seiberg-witten-invariantsarXiv posted 2 days ago
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Joyce's coassociative counting invariant conjecture for $G_2$ -manifolds
Let $(X^7,g)$ be a compact $G_2$ -manifold, and let coassociative submanifolds be $4$ -dimensional submanifolds calibrated by the $G_2$ $4$ -form. Joyce's conjecture. It may be possib…
Conjectureopencoassociative-submanifolds enumerative-geometry g2-geometryarXiv posted 2 days ago

The Seiberg–Witten count conjecture for small-volume instantons between nearby coassociatives