论文标题
锥形和波形的符号减少的变形定量
Deformation quantisation of the conic and symplectic reduction of wavefunctions
论文作者
论文摘要
我们对称为变形定量的代数程序进行了简短的综述，该程序用非共同代数代替了交换代数。我们使用此框架来检查量子曲线文献中已知的被称为波函数的对象是由变形定量引起的。我们在平面圆锥$ -y+x^2+2 xy+y^2 $方面举例说明了一个相关的波函数。我们还举例说明了Kontsevich和Soibelman Arxiv的过程：1701.09137的过程。
We give a short review of the algebraic procedure known as deformation quantisation, which replaces a commutative algebra with a non-commutative algebra. We use this framework to examine how the objects known as wavefunctions, as known in the quantum curve literature, arise from deformation quantisation. We give an example in terms of the planar conic $-y+x^2+2 xy + y^2$, and construct an associated wavefunction. We also give an example of the symplectic reduction of a wavefunction, following a procedure from Kontsevich and Soibelman arXiv:1701.09137.
