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Kauffman Bracket Skein Module of the Connected Sum of Handlebodies: A Counterexample
- Publication Year :
- 2020
-
Abstract
- In this paper we disprove a twenty-two year old theorem about the structure of the Kauffman bracket skein module of the connected sum of two handlebodies. We achieve this by analysing handle slidings on compressing discs in a handlebody. We find more relations than previously predicted for the Kauffman bracket skein module of the connected sum of handlebodies, when one of them is not a solid torus. Additionally, we speculate on the structure of the Kauffman bracket skein module of the connected sum of two solid tori.<br />Comment: 10 pages, 15 figures
- Subjects :
- Mathematics - Geometric Topology
57K31, 57K10
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2005.07750
- Document Type :
- Working Paper