Quadratic relations between periods of connections

Abstract

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. V3: Revised version, various proofs simplified in Section 3, exposition improved.

arXiv comment46 pages, 2 figures. V2: A reference updated. V3: 47 pages, 1 figure. V4: final published version

References in corpus (4)

• Introduction to Stokes structures
• Good formal structures on flat meromorphic connections, I: Surfaces
• Periods for flat algebraic connections
• Quadratic relations between Bessel moments

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