Quadratic relations between periods of connections
Javier Fresán, Claude Sabbah, Jeng-Daw Yu · Tohoku Mathematical Journal · 2023
We prove the existence of quadratic relations between periods of meromorphic flat bundles on complex manifolds with poles along a divisor with normal crossings under the assumption of “goodness”. In dimension one, for which goodness is always satisfied, we provide methods to compute the various pairings involved. In an appendix, we recall some classical results needed for the proofs.