Contour integrals as $Ad$-invariant functions on the fundamental group

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dc.creatorBobienski, Marcin
dc.date2005-07-11
dc.date.accessioned2026-07-07T05:21:36Z
dc.date.available2026-07-07T05:21:36Z
dc.descriptionWe introduce a general approach to contour integrals. It covers usual Abelian integrals, the higher order Melnikov integrals and the generalized Abelian integrals. We prove that the generating function always satisfies a linear differential equation of finite order. We also present a relationship between the generalized Abelian integral and certain representation of the fundamental group of complex curve.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0507213
dc.identifierhttp://arxiv.org/abs/math/0507213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75745
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject34C07,34C08
dc.titleContour integrals as $Ad$-invariant functions on the fundamental group
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