SO（3）--纽结状态和体积猜想
SO(3)-Knot States and the Volume Conjecture
摘要：
本文研究了环面SU（2）-特征标簇上特殊的前量子线丛的全纯截面的交错子空间，证明了它与SO（3）Witten-Chern-Simons理论给出的周边环面映射类群的射影表示同构.我们猜想通过几何量子化的SO（3）-纽结态的$L^2$ -范数的大r渐近性捕获了纽结补的单纯体积.
英文摘要：
We study the alternating subspace of holomorphic sections of a special prequantum line bundle over SU(2)-character variety of torus, and show that it is isomorphic to the projective representation of mapping class group of peripheral torus given by the SO(3) Witten-Chern-Simons theory. We conjecture that the large r asymptotics of $L^2$-norm of SO(3)-knot states via geometric quantization capture the simplicial volume of knot complements.
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