The quantum content of the Neumann-Zagier equations
- Series
- Geometry Topology Seminar
- Time
- Monday, February 20, 2012 - 14:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Stavros Garoufalidis – Georgia Tech – stavros@math.gatech.edu
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.