Frobenius Manifolds and a New Class of Extended Affine Weyl Groups of A-type (II)

Abstract

With the help of the local isomorphism between the Hurwitz space $M_{0;k-1,l-k-r+1,r-1}$ and the orbit space $\mathcal {M}_{k,k+r}(A_l)$, we will show the existence of a Frobenius manifold structure on the orbit space $\mathcal {M}_{k,k+r}(A_l)\setminus \Sigma _r$ of the extended affine Weyl group $\widetilde{W}^{(k,k+r)}(A_l)$ for $1\le k<k+r\le l$.

Keywords

Frobenius manifolds / Extended affine / Weyl groups

Funding

national natural science foundation of china(11671371)