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• W2040429726 abstract "We determine the PSL 2 (ℂ) and SL 2 (ℂ) character varieties of the once-punctured torus bundles with tunnel number one, i.e. the once-punctured torus bundles that arise from filling one boundary component of the Whitehead link exterior. In particular, we determine natural models for these algebraic sets, identify them up to birational equivalence with smooth models, and compute the genera of the canonical components. This enables us to compare dilatations of the monodromies of these bundles with these genera. We also determine the minimal polynomials for the trace fields of these manifolds. Additionally, we study the action of the symmetries of these manifolds upon their character varieties, identify the characters of their lens space fillings, and compute the twisted Alexander polynomials for their representations to SL 2 (ℂ)." @default.
• W2040429726 created "2016-06-24" @default.
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• W2040429726 date "2013-06-01" @default.
• W2040429726 modified "2023-10-18" @default.
• W2040429726 title "CHARACTER VARIETIES OF ONCE-PUNCTURED TORUS BUNDLES WITH TUNNEL NUMBER ONE" @default.
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• W2040429726 doi "https://doi.org/10.1142/s0129167x13500481" @default.
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