论文标题
几何量化中的光谱收敛---曲曲面符号歧管的情况
Spectral convergence in geometric quantization --- the case of toric symplectic manifolds
论文作者
论文摘要
在本文中，我们显示了$ \ Overline {\ partial} $ - laplacians的光谱收敛结果，当$（x，ω）$是一个紧凑型的复曲面象征性歧管时，配备了天然的前量子量束$ l $。我们考虑一个$ \ {J_S \} _ s $ $ω$ - 稳态的复杂结构，趋向于大型复杂结构限制，并获得$ \ overline {\ partial} $的光谱收敛 - laplacians-laplacians-laplacians作用于$ l^k $。
In this paper, we show the spectral convergence result of $\overline{\partial}$-Laplacians when $(X,ω)$ is a compact toric symplectic manifold equipped with the natural prequantum line bundle $L$. We consider a family $\{ J_s\}_s$ of $ω$-compatible complex structures tending to the large complex structure limit, and obtain the spectral convergence of $\overline{\partial}$-Laplacians acting on $L^k$.
