On pairs of prime geodesics with fixed homology difference

Abstract

We exhibit the analogy between prime geodesics on hyperbolic Riemann surfaces and ordinary primes. We present new asymptotic counting results concerning pairs of prime geodesics whose homology difference is fixed.

19 pages, Corrected typos, corrected MSC-class

References in corpus (1)

• Equidistribution of geodesics on homology classes and analogues for free groups