✦ LIBER ✦

Irregularity and the period determinant for irregular singular connections on surfaces

✍ Scribed by M. Hien

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 284 KB
Volume: 283
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200710042

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✦ Synopsis

Abstract

In [6], we constructed a period pairing for flat irregular singular conncetions on surfaces. We now extend these constructions to a perfect period pairing between the irregularity complex of the connection and the complex of relative rapid decay chains. As a consequence, the period determinant of the connection decomposes as a product of a topological period determinant on the open surface and a determinant coming from the irregularity of the connection. Additionally, we deduce a method to compute the irregularity sheaf up to local isomorphism in topological terms (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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