Abstract
We extend a T-path expansion formula for arcs on an unpunctured surface to the case of arcs on a once-punctured polygon and use this formula to give a combinatorial proof that cluster monomials form the atomic basis of a cluster algebra of type D.
Original language | English (US) |
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Article number | 060 |
Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
Volume | 11 |
DOIs | |
State | Published - Aug 12 2015 |
Bibliographical note
Publisher Copyright:© 2015, Institute of Mathematics. All rights reserved.
Keywords
- Atomic basis
- Cluster algebra
- Triangulated surface