English

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

Quantum Algebra 2023-03-24 v1

Abstract

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

Cite

@article{arxiv.2303.13398,
  title  = {$SO(3)$-Berezin-Toeplitz quantization and the AJ conjecture},
  author = {Honghuai Fang},
  journal= {arXiv preprint arXiv:2303.13398},
  year   = {2023}
}
R2 v1 2026-06-28T09:30:21.688Z