Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Estimating a skein module with $SL_2(\mathbb C)$ characters

Author(s): Doug Bullock
Journal: Proc. Amer. Math. Soc. 125 (1997), 1835-1839.
MSC (1991): Primary 57M99
MathSciNet review: 1403115
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Abstract: We introduce a new technique for estimating the number of generators of the Kauffman bracket skein module of a three manifold; one which requires the construction of linear functionals on a simpler version of the module. Of particular interest is the use of representations of the fundamental group into $SL_2(\hspace {-.3pt}{\mathbb C}\hspace {.3pt})$ to generate the functionals.

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