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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New log-canonical coordinates on SL(2,C) character varieties are built from non-intersecting loops by mixing shear-type and length/twist-type data.
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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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New systems of log-canonical coordinates on $SL(2, \mathbb{C})$ character varieties of compact Riemann surfaces
New log-canonical coordinates on SL(2,C) character varieties are built from non-intersecting loops by mixing shear-type and length/twist-type data.