Quadratic relations between periods of connections
Journal
Tohoku Math. J. 75 (2023), 175-213
Journal Volume
75
Journal Issue
2
Date Issued
2020-05-23
Author(s)
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.
Subjects
good meromorphic flat bundle | moderate homology and cohomology | Period pairing | Poincaré-Verdier duality | quadratic relation | rapid-decay homology and cohomology | real blow-up; Mathematics - Algebraic Geometry; Mathematics - Algebraic Geometry; 32G20, 34M35
Description
46 pages, 2 figures. V2: A reference updated. V3: 47 pages, 1 figure.
V4: final published version
V4: final published version
Type
journal article