On cluster algebras from unpunctured surfaces with one marked point
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- by Ilke Canakci, Kyungyong Lee and Ralf Schiffler HTML | PDF
- Proc. Amer. Math. Soc. Ser. B 2 (2015), 35-49
Abstract:
We extend the construction of canonical bases for cluster algebras from unpunctured surfaces to the case where the number of marked points on the boundary is one. We show that the cluster algebra is equal to the upper cluster algebra in this case.References
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Additional Information
- Ilke Canakci
- Affiliation: Department of Mathematics, University of Leicester, University Road, Leicester LE1 7RH, United Kingdom
- Address at time of publication: Department of Mathematical Sciences, Durham University, Lower Mountjoy, Stockton Road, Durham DH1 3LE, United Kingdom
- MR Author ID: 1012365
- Email: ilke.canakci@durham.ac.uk
- Kyungyong Lee
- Affiliation: Department of Mathematics, Wayne State University, Detroit, Michigan 48202 — and — Center for Mathematical Challenges, Korea Institute for Advanced Study, 85 Hoegiro, Dongdaemun-gu, Seoul 130-722, Republic of Korea
- Address at time of publication: Department of Mathematics, University of Nebraska-Lincoln, 210 Avery Hall, Lincoln, NE 68588-0130, USA
- MR Author ID: 802752
- Email: klee24@unl.edu, klee1@kias.re.kr
- Ralf Schiffler
- Affiliation: Department of Mathematics, University of Connecticut, Storrs, Connecticut 06269-3009
- MR Author ID: 724459
- Email: schiffler@math.uconn.edu
- Received by editor(s): August 23, 2014
- Published electronically: November 13, 2015
- Additional Notes: The first author was supported by EPSRC grant number EP/K026364/1, UK and the University of Leicester
The second author was supported by Wayne State University, the Korea Institute for Advanced Study, AMS Centennial Fellowship and NSA grant H98230-14-1-0323
The third author was supported by NSF grants DMS-1254567, DMS-1101377 and by the University of Connecticut - Communicated by: Harm Derksen
- © Copyright 2015 by the authors under Creative Commons Attribution 3.0 License (CC BY 3.0)
- Journal: Proc. Amer. Math. Soc. Ser. B 2 (2015), 35-49
- MSC (2010): Primary 13F60
- DOI: https://doi.org/10.1090/bproc/21
- MathSciNet review: 3422667