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math.DG2026
Geodesic string counting invariants and arithmetic of multiplicities
Yasha Savelyev
We study rational valued counts of geodesic strings (reparametrization equivalence classes of closed geodesics) for complete Riemann-Finsler manifolds, based on the Fuller index of…
math.DG2026
On moduli spaces of uniformly negatively curved metrics
Yasha Savelyev
Let $\Neg(X)$ denote the space of complete Riemannian metrics with uniformly negative curvature on a surface , equipped with the intrinsic uniform topology. Let $\mathcal…