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Sikora, Adam S. and Westury, Bruce W. (2007) Confluence theory for graphs. Algebraic & Geometric Topology, Volume 7 . pp. 439-478. doi:10.2140/agt.2007.7.439
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Official URL: http://dx.doi.org/10.2140/agt.2007.7.439
Abstract
We develop a theory of confluence of graphs. We describe an algorithm for proving that a given system of reduction rules for abstract graphs and graphs in surfaces is locally confluent. We apply this algorithm to show that each simple Lie algebra of rank at most 2, gives rise to a confluent system of reduction rules of graphs (via Kuperberg's spiders) in an arbitrary surface. As a further consequence of this result, we find canonical bases of SU3-skein modules of cylinders over orientable surfaces.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science > Mathematics | ||||
| Journal or Publication Title: | Algebraic & Geometric Topology | ||||
| Publisher: | Mathematical Sciences Publishers | ||||
| ISSN: | 1472-2739 | ||||
| Official Date: | 2007 | ||||
| Dates: |
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| Volume: | Volume 7 | ||||
| Number of Pages: | 40 | ||||
| Page Range: | pp. 439-478 | ||||
| DOI: | 10.2140/agt.2007.7.439 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published |
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