22 citations · 26 across the 30 of their papers we have counts for
6 papers · 1 filter
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…
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…
Untwisted Gromov-Witten invariants of Riemann-Finsler manifolds
Yasha Savelyev
We define a -valued deformation invariant of certain complete Riemann-Finsler manifolds, in particular of complete Riemannian manifolds with non positive sectional curv…
Mean curvature versus diameter and energy quantization
Yasha Savelyev
We first partially extend a theorem of Topping, on the relation between mean curvature and intrinsic diameter, from immersed submanifolds of to almost everywhere…
Yang Mills theory and jumping curves
Yasha Savelyev
We study a smooth analogue of jumping curves of a holomorphic vector bundle, and use Yang-Mills theory over to show that any non-trivial, smooth Hermitian vector bundle…
Spectral geometry of the group of Hamiltonian symplectomorphisms
Yasha Savelyev
We introduce here a natural functional associated to any : \emph{spectral length functional}, on the space of "generalized paths" in , closel…