Geometric Microstates for the Three Dimensional Black Hole?

Understand

We study microstates of the three dimensional black hole obtained by quantizing topologically non-trivial geometries behind the event horizon.

• In chiral gravity these states are found by quantizing the moduli space of bordered Riemann surfaces.
• In the semi-classical limit these microstates can be counted using intersection theory on the moduli space of punctured Riemann surfaces.
• We make a conjecture (supported by numerics) for the asymptotic behaviour of the relevant intersection numbers.