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On the Kauffman bracket skein module of surgery on a trefoil - MaRDI portal

On the Kauffman bracket skein module of surgery on a trefoil (Q1365131)

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scientific article; zbMATH DE number 1054046
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English
On the Kauffman bracket skein module of surgery on a trefoil
scientific article; zbMATH DE number 1054046

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    On the Kauffman bracket skein module of surgery on a trefoil (English)
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    4 January 1998
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    We estimate the rank of the Kauffman bracket skein module of each manifold obtained from integral surgery on a trefoil knot. It is well-known that all but two of these manifolds contain no incompressible surfaces. We find that the two exceptions are exactly those whose skein module is not finitely generated, thereby extending a pattern that holds for all known compact orientable examples.
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    Kauffman bracket
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    skein module
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    surgery
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    knot
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