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    The SL(2,C) Casson invariant for Seifert fibered homology spheres and surgeries on twist knots

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    Date
    2006
    Author
    Curtis, Cynthia
    Boden, Hans U.
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    Abstract
    Abstract
    We derive a simple closed formula for the SL(2,C) Casson invariant for Seifert fibered homology 3-spheres using the correspondence between SL(2,C) character varieties and moduli spaces of parabolic Higgs bundles of rank two. These results are then used to deduce the invariant for Dehn surgeries on twist knots by combining computations of the Culler-Shalen norms with the surgery formula for the SL(2,C) Casson invariant.
    Citation:
    The SL2(C) Casson invariant for Seifert fibered homology spheres and surgeries on twist knots. (n.d). JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 15(7), 813-837.
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    URI
    https://doi.org/10.1142/s0218216506004762
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