On the skein module of the product of a surface and a circle
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- by Patrick M. Gilmer and Gregor Masbaum PDF
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Abstract:
Let $\Sigma$ be a closed oriented surface of genus $g$. We show that the Kauffman bracket skein module of $\Sigma \times S^1$ over the field of rational functions in $A$ has dimension at least $2^{2g+1}+2g-1.$References
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Additional Information
- Patrick M. Gilmer
- Affiliation: Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803
- MR Author ID: 73695
- Email: patgilmer@gmail.com
- Gregor Masbaum
- Affiliation: CNRS, Sorbonne Université, Université Paris Diderot, Institut de Mathématiques de Jussieu-Paris Rive Gauche, IMJ-PRG, Case 247, 4 pl. Jussieu, 75252 Paris Cedex 5, France
- MR Author ID: 265624
- Email: gregor.masbaum@imj-prg.fr
- Received by editor(s): April 24, 2018
- Received by editor(s) in revised form: January 7, 2019
- Published electronically: June 14, 2019
- Communicated by: David Futer
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 4091-4106
- MSC (2010): Primary 57N10, 57M99, 57R56
- DOI: https://doi.org/10.1090/proc/14553
- MathSciNet review: 3993800