Quadratic relations between periods of connections

Javier Fresán, Claude Sabbah, Jeng-Daw Yu

Published 2020-05-23Version 1

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 give details on the classical results needed for the proofs.