Topological Dynamics on Moduli Spaces II

dc.creatorPrevite, Joseph P.
dc.creatorXia, Eugene Z.
dc.date1999-10-06
dc.date1999-10-06
dc.date.accessioned2026-07-07T05:31:04Z
dc.date.available2026-07-07T05:31:04Z
dc.descriptionLet M be a Riemann surface with boundary $\partial M$ and genus greater than zero. Let $Γ$ be the mapping class group of M fixing $\partial M$. The group $Γ$ acts on ${\mathcal M}_{\mathcal C} = \Hom_{\mathcal C}(π_1(M),SU(2)/SU(2)$ which is the space of SU(2)-gauge equivalence classes of flat SU(2)-connections on M with fixed holonomy on $\partial M$. We study the topological dynamics of the $Γ$-action and give conditions for the individual $Γ$-orbits to be dense in ${\mathcal M}_{\mathcal C}$.
dc.description39 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/math/9910036
dc.identifierhttp://arxiv.org/abs/math/9910036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79213
dc.subjectDynamical Systems
dc.subject57M05;54H20
dc.titleTopological Dynamics on Moduli Spaces II
dc.typetext

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