The quantum content of the Neumann-Zagier equations

Series: 
Geometry Topology Seminar
Monday, February 20, 2012 - 14:05
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
Georgia Tech
,  
The Neumann-Zagier equations are well-understood objects of classical hyperbolic geometry. Our discovery is that they have a nontrivial quantum content, (that for instance captures the perturbation theory of the Kashaev invariant to all orders) expressed via universal combinatorial formulas. Joint work with Tudor Dimofte.