Gauß–Manin from scratch: theme, variations and fantasia

Athorne, C. (2022) Gauß–Manin from scratch: theme, variations and fantasia. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 478(2262), 20220217. (doi: 10.1098/rspa.2022.0217)

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Abstract

We discuss the explicit construction of Gauß–Manin connections on the cohomology of families of low genus Riemann surfaces represented as curves with branch points in general position. The approach is distinguished from others by the use of an equivariant basis of differential forms.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Athorne, Dr Chris
Authors: Athorne, C.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences
Publisher:The Royal Society
ISSN:1364-5021
ISSN (Online):1471-2946
Published Online:22 June 2022
Copyright Holders:Copyright © 2022 The Author(s)
First Published:First published in Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences 478(2262): 20220217
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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