论文标题
因此（3） - 结状态和音量猜想
SO(3)-Knot States and the Volume Conjecture
论文作者
论文摘要
我们研究了su（2）符号（2）符号的特殊量式线束的圆形切片的交替子空间，并表明它与SO（3）Witten-Chern-Chern-Simons理论给出的映射映射类群的映射类别的外围圆环组的投影表示是同构的。我们猜想，通过几何量化的$ l^2 $ norm的$ l^2 $ norm的大r渐近学捕获了结的简单音量。
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.
