3 problems

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Laurent-polynomial conjecture for membrane indices on $\mathcal{O}(-2)\oplus\mathcal{O}(2)$ over $\mathbb{P}^3$
Laurent-polynomial conjecture. For every degree $d$ , $\Omega_{d[L]}$ is a Laurent polynomial in $q_0$ , $q_1$ , $q_2$ , and $q_3$ .
Conjectureopenequivariant-geometry local-calabi-yau membrane-indicesarXiv posted 2 days ago
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Higher-degree denominator conjecture for membrane indices on $\mathcal{O}(-1)\oplus\mathcal{O}(3)$ over $\mathbb{P}^2$
Higher-degree denominator conjecture. For every integer $d>1$ ,
Conjectureopenequivariant-geometry local-calabi-yau membrane-indicesarXiv posted 2 days ago
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Hosono's physical mirror conjecture for local $\mathbb{P}^2$
Let $X=K_{\mathbb{P}^2}$ , with brane basis $\{{\mathcal B}_0,{\mathcal B}_1,{\mathcal B}_2\}=\{[\mathcal O_p],[\mathcal O_H(-1)],[\mathcal O_{\mathbb P^2}(-2)]\}$ , and let $Y_y$ be…
Conjectureopenlocal-calabi-yau mirror-symmetry periodsarXiv posted 2 days ago

Laurent-polynomial conjecture for membrane indices on O(−2)⊕O(2)\mathcal{O}(-2)\oplus\mathcal{O}(2)O(−2)⊕O(2) over P3\mathbb{P}^3P3