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- W3170150213 abstract "Hyperbolic Dehn surgery and the bending procedure provide two ways which can be used to describe hyperbolic deformations of a complete hyperbolic structure on a 3-manifold. Moreover, one can obtain examples of non-Haken manifolds without the use of Thurston’s Uniformization Theorem. We review these gluing techniques and present a logical continuity between these ideas and gluing methods for Higgs bundles. We demonstrate how one can construct certain model objects in representation varieties $$text{Hom} left ( pi _{1} left ( Sigma right ), G right ) $$ for a topological surface Σ and a semisimple Lie group G. Explicit examples are produced in the case of Θ-positive representations lying in the smooth connected components of the $$text{SO} left (p,p+1 right )$$ representation variety." @default.
- W3170150213 created "2021-06-22" @default.
- W3170150213 creator A5045866058 @default.
- W3170150213 date "2022-01-01" @default.
- W3170150213 modified "2023-10-14" @default.
- W3170150213 title "From Hyperbolic Dehn Filling to Surgeries in Representation Varieties" @default.
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- W3170150213 doi "https://doi.org/10.1007/978-3-030-97560-9_6" @default.
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