Mathematics – Combinatorics
Scientific paper
2011-11-15
Mathematics
Combinatorics
54 pages, lots of figures; v3: a section about sign-coherence of c-vectors added, minor corrections
Scientific paper
We construct geometric realization for non-exceptional mutation-finite cluster algebras by extending the theory of Fomin and Thurston to skew-symmetrizable case. Cluster variables for these algebras are renormalized lambda lengths on certain hyperbolic orbifolds. We also compute growth rate of these cluster algebras, provide positivity of Laurent expansions of cluster variables, and prove sign-coherence of c-vectors.
Felikson Anna
Shapiro Michael
Tumarkin Pavel
No associations
LandOfFree
Cluster algebras and triangulated orbifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Cluster algebras and triangulated orbifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cluster algebras and triangulated orbifolds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-708554