Estimating the size of skein homologies (Q2725544)

The authors prove that the map which ignores ``crossing balls'' is an epimorphism from each \(n\)-dimensional Kauffman bracket homology module of an oriented 3-manifold \(M\) [see e.g. \textit{D. Bullock}, \textit{Ch. Frohman} and \textit{J. Kania-Bartoszyńska}, J. Knot Theory Ramifications 8, No. 3, 265-277 (1999; Zbl 0932.57015); Can. Math. Bull. 41, No. 2, 140-144 (1998; Zbl 0914.57011)] to the 0th homology module, the Kauffman bracket skein module of \(M\). It follows as a corollary that under appropriate conditions, the \(n\)th Kauffman bracket homology of \(M\) is not finitely generated for any \(n\).NEWLINENEWLINEFor the entire collection see [Zbl 0959.00034].