Topological dynamics on moduli spaces II

Joseph P. Previte; Eugene Z. Xia

doi:10.1090/S0002-9947-02-02961-6

Topological dynamics on moduli spaces II

Joseph P. Previte, Eugene Z. Xia

School of Science (Behrend)

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

Let M be an orientable genus g > 0 surface with boundary ∂M. Let Γ be the mapping class group of M fixing ∂M. The group Γ acts on M_C = Hom_C(π₁(M), SU(2))/SU(2), the space of SU(2)-gauge equivalence classes of flat SU(2)-connections on M with fixed holonomy on ∂M. We study the topological dynamics of the Γ-action and give conditions for the individual Γ-orbits to be dense in M_C.

Original language	English (US)
Pages (from-to)	2475-2494
Number of pages	20
Journal	Transactions of the American Mathematical Society
Volume	354
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9947-02-02961-6
State	Published - 2002

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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title = "Topological dynamics on moduli spaces II",

abstract = "Let M be an orientable genus g > 0 surface with boundary ∂M. Let Γ be the mapping class group of M fixing ∂M. The group Γ acts on MC = HomC(π1(M), SU(2))/SU(2), the space of SU(2)-gauge equivalence classes of flat SU(2)-connections on M with fixed holonomy on ∂M. We study the topological dynamics of the Γ-action and give conditions for the individual Γ-orbits to be dense in MC.",

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AU - Xia, Eugene Z.

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N2 - Let M be an orientable genus g > 0 surface with boundary ∂M. Let Γ be the mapping class group of M fixing ∂M. The group Γ acts on MC = HomC(π1(M), SU(2))/SU(2), the space of SU(2)-gauge equivalence classes of flat SU(2)-connections on M with fixed holonomy on ∂M. We study the topological dynamics of the Γ-action and give conditions for the individual Γ-orbits to be dense in MC.

AB - Let M be an orientable genus g > 0 surface with boundary ∂M. Let Γ be the mapping class group of M fixing ∂M. The group Γ acts on MC = HomC(π1(M), SU(2))/SU(2), the space of SU(2)-gauge equivalence classes of flat SU(2)-connections on M with fixed holonomy on ∂M. We study the topological dynamics of the Γ-action and give conditions for the individual Γ-orbits to be dense in MC.

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EP - 2494

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 6

ER -

Topological dynamics on moduli spaces II

Abstract

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