Abstract.
If F is a compact orientable surface it is known that the Kauffman bracket skein module of \(F \times I\) has a multiplicative structure. Our central result is the construction of a finite set of knots which generate the module as an algebra. We can then define an integer valued invariant of compact orientable 3-manifolds which characterizes \(S^3\).
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Received November 27, 1995; in final form September 29, 1997
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Bullock, D. A finite set of generators for the Kauffman bracket skein algebra. Math Z 231, 91–101 (1999). https://doi.org/10.1007/PL00004727
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DOI: https://doi.org/10.1007/PL00004727