Colliding holes in Riemann surfaces and quantum cluster algebras

DOI10.1088/1361-6544/aa9729zbMath1390.13066arXiv1509.07044OpenAlexW2964156953MaRDI QIDQ4600985

Marta Mazzocco, Leonid O. Chekhov

Publication date: 18 January 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07044

zbMATH Keywords

Teichmüller spacequantizationDarboux coordinatesRiemann surfaces with boundaryalgebras of geodesic functions

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Triangulating manifolds (57Q15) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Relations of low-dimensional topology with graph theory (57M15) Teichmüller theory for Riemann surfaces (30F60) Riemann surfaces; Weierstrass points; gap sequences (14H55) Cluster algebras (13F60)

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