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Families of SU(2) representations for mapping cylinders of periodic monodromy
Published online by Cambridge University Press: 20 January 2009
Abstract
We examine the action of diffeomorphisms of an oriented surface with boundary on the space of conjugacy classes of SU(2) representations of the fundamental group and prove that in the case of a single periodic diffeomorphism the induced action always has fixed points. For the corresponding 3-dimensional mapping cylinders we obtain families of representations parametrized by their value on the longitude of the torus boundary.
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- Copyright © Edinburgh Mathematical Society 1997