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On tabulating virtual strings
- Publication Year :
- 2008
-
Abstract
- A virtual string can be defined as a closed curve on a surface modulo certain equivalence relations. Turaev defined several invariants of virtual strings which we use to produce a table of virtual strings up to 4 crossings. We discuss progress in extending the tabulation to 5 crossings. We also provide a counter-example to a statement of Kadokami.<br />Comment: 21 pages, 9 figures, submitted to the Proceedings of the International Conference on Quantum Topology, Hanoi, August, 2007
- Subjects :
- Mathematics - Geometric Topology
57M25 (primary)
57M99 (secondary)
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0808.0064
- Document Type :
- Working Paper