sl（n）- WZNW稠合环：一种组合构造及其量子上同调商的实现
The sl(n)-WZNW Fusion Ring: a combinatorial construction and a realisation as quotient of quantum cohomology
摘要：
给出了sl（n）-WZNW融合环（也称为Verlinde代数）的一个简单的组合构造.作为构造的副产品，人们得到了Grassmannian Gr（k，k+n）的小量子上同调环的一个特定商与熔合环之间的同构。我们解释了我们的方法如何自然地适合于已知的量子上同调环的组合描述，通过建立一个可以称之为“玻色子-费米子对应”的两个环。我们还提出了新的递推公式的结构常数的两个环，融合系数和Gromov-Witten不变量。
英文摘要：
A simple, combinatorial construction of the sl(n)-WZNW fusion ring, also known as Verlinde algebra, is given. As a byproduct of the construction one obtains an isomorphism between the fusion ring and a particular quotient of the small quantum cohomology ring of the Grassmannian Gr(k,k+n). We explain how our approach naturally fits into known combinatorial descriptions of the quantum cohomology ring, by establishing what one could call a `Boson-Fermion-correspondence' between the two rings. We also present new recursion formulae for the structure constants of both rings, the fusion coefficients and the Gromov-Witten invariants.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
