The homology-sphere (1+t)(1+t)-torsion conjecture

Let MM be an integral homology sphere, let K(M)K(M) denote its Kauffman bracket skein module, and let K(M)\overline{K(M)} be its completion. Homology-sphere (1+t)(1+t)-torsion conjecture. There is no (1+t)(1+t)-torsion in K(M)\overline{K(M)}. The conjecture is presented as an ambitious application of Hochschild homology, with the authors hoping to use results of Serre and of Goldman and Millson to prove it; its status is not resolved in the supplied text.

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Primary source

Michael McLendon, “Detecting torsion in skein modules using Hochschild homology”, arXiv:math/0405395 (2004).

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