Introduces birational Weyl group action on symplectic groupoid of A_n matrices via cluster transformations and proves invariants form finite central extension of matrix entry algebra, with applications to Teichmuller images and DT-transformations.
Description of moduli space of projective structures via fat graphs
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We give an elementary explicit construction of cell decomposition of the moduli space of projective structures on a two dimensional surface analogous to the decomposition of Penner/Strebel for moduli space of complex structures. The relations between projective structures and $PGL(2,{\bf C})$ flat connections are also described. (in the revised version uuencoded pictures are made printable)
verdicts
UNVERDICTED 2representative citing papers
Constructs quantized trace-of-monodromy via Bonahon-Wong maps and verifies Teschner recursion plus strong commutation for disjoint loops in Chekhov-Fock quantum Teichmüller theory.
citing papers explorer
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Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras
Introduces birational Weyl group action on symplectic groupoid of A_n matrices via cluster transformations and proves invariants form finite central extension of matrix entry algebra, with applications to Teichmuller images and DT-transformations.
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Quantized Geodesic Lengths for Teichm\"uller Spaces: Algebraic Aspects
Constructs quantized trace-of-monodromy via Bonahon-Wong maps and verifies Teschner recursion plus strong commutation for disjoint loops in Chekhov-Fock quantum Teichmüller theory.