Determinant formulas for the $τ$-functions of the Painlevé equations of type $A$
英文摘要：
Explicit determinant formulas are presented for the $τ$ functions of the generalized Painlevé equations of type $A$. This result allows an interpretation of the $τ$-functions as the Plücker coordinates of the universal Grassmann manifold.
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。
