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arXiv · 2303.13398

$SO(3)$-Berezin-Toeplitz quantization and the AJ conjecture

Honghuai Fang
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Abstract

We investigate the Berezin-Toeplitz operators that operate on the geometric quantized space corresponding to the $SO(3)$-Witten-Chern-Simons theory. We conjecture that the $SO(3)$-Berezin-Toeplitz operators quantized from the A-polynomial annihilate the corresponding $SO(3)$-knot states.

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Honghuai Fang. 2023-03-23. $SO(3)$-Berezin-Toeplitz quantization and the AJ conjecture. https://arxiv.org/abs/2303.13398

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