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- W2074972368 abstract "The aim of this paper is to study the SU(2)-representation spaces of knot groups. For a given a knot k⊂S3 we denote by R(k) the space of equivalence classes of irreducible representations of the knot group π1(S3⧹k) in SU(2) and we denote by Reg(k)⊂R(k) the space of regular representations. It is well known that Reg(k)⊂R(k) is a real one-dimensional manifold. The main result of this paper is to prove that Reg(k) also carries a cannonical orientation. As an application we are able to explain a generalization of a result of X.-S. Lin concerning the knot signatures." @default.
- W2074972368 created "2016-06-24" @default.
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- W2074972368 date "2003-01-01" @default.
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- W2074972368 title "An orientation for the SU(2)-representation space of knot groups" @default.
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- W2074972368 doi "https://doi.org/10.1016/s0166-8641(02)00059-7" @default.
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