基本群代数的Jacobi代数表示
Jacobi algebra presentations for fundamental group algebras
摘要：
证明了Davison关于基本群代数$k[π_1(X)]$的超势描述的一个猜想的一个特例.考虑了流形$X$是亏格$g$ Riemann曲面$Σ_g$和有穷级自同构$φ$的映射环面$M_{g, φ}$的情形，超势结构由带势流形的Jacobi代数给出.
英文摘要：
We prove a special case of a conjecture of Davison which pertains to superpotential descriptions of fundamental group algebras $k[π_1(X)]$. We consider the case in which the manifold $X$ is the mapping torus $M_{g, φ}$ of a genus $g$ Riemann surface $Σ_g$ and a finite order automorphism $φ$, and the superpotential structure is given by the Jacobi algebra of a quiver with potential.
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