Pfaffian of Appell's Hypergeometric System in Terms of the Intersection Form of Twisted Cohomology Groups
Yoshiaki Goto
Kobe University, JapanJyoichi Kaneko
University of the Ryukyus, Okinawa, JapanKeiji Matsumoto
Hokkaido University, Sapporo, Japan
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Abstract
We study a Pfaffian of Appell's hypergeometric system of differential equations by twisted cohomology groups associated with Euler type integrals representing solutions. We simplify its connection matrix by the pull-back under a double cover of the complement of the singular locus. We express the simplified connection matrix in terms of the intersection form between the twisted cohomology groups.
Cite this article
Yoshiaki Goto, Jyoichi Kaneko, Keiji Matsumoto, Pfaffian of Appell's Hypergeometric System in Terms of the Intersection Form of Twisted Cohomology Groups. Publ. Res. Inst. Math. Sci. 52 (2016), no. 2, pp. 223–247
DOI 10.4171/PRIMS/179