通过半单Frobenius 3-folds的平坦3-网
Flat 3-webs via semi-simple Frobenius 3-folds
摘要:
利用三维半单几何Frobenius流形构造了平坦3-网,并给出了网的Chern联络的几何解释。这些网在相应的结合方程的解上与特征网是双全纯的。我们表明,这样的网络是六边形的,并承认至少有一个无穷小对称在每个奇点。还讨论了网络的奇异性。
英文摘要:
We construct flat 3-webs via semi-simple geometric Frobenius manifolds of dimension three and give geometric interpretation of the Chern connection of the web. These webs turned out to be biholomorphic to the characteristic webs on the solutions of the corresponding associativity equation. We show that such webs are hexagonal and admit at least one infinitesimal symmetry at each singular point. Singularities of the web are also discussed.
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。