Bullock, Doug A finite set of generators for the Kauffman bracket skein algebra. (English) Zbl 0932.57016 Math. Z. 231, No. 1, 91-101 (1999). Summary: 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 \(S^3\). Cited in 1 ReviewCited in 16 Documents MSC: 57M27 Invariants of knots and \(3\)-manifolds (MSC2010) 57N10 Topology of general \(3\)-manifolds (MSC2010) 57M99 General low-dimensional topology 57M25 Knots and links in the \(3\)-sphere (MSC2010) 57N12 Topology of the Euclidean \(3\)-space and the \(3\)-sphere (MSC2010) Keywords:recognition of \(S^3\) skein module PDFBibTeX XMLCite \textit{D. Bullock}, Math. Z. 231, No. 1, 91--101 (1999; Zbl 0932.57016) Full Text: DOI