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The workshop on Low-Dimensional Topology and Number Theory brought together researchers in these areas with the intent of exploring the many tantalizing connections between Low-Dimensional Topology and Number Theory. Some of the most actively discussed topics were the appearances of modularity in quantum invariants and mutual relations between hyperbolic volume, K-theory, and asymptotics of quantum invariants.
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Paul E. Gunnells, Walter D. Neumann, Adam S. Sikora, Don B. Zagier, Low-Dimensional Topology and Number Theory. Oberwolfach Rep. 7 (2010), no. 3, pp. 2101–2163DOI 10.4171/OWR/2010/35