Y. Savelyev

activity

20242026

collaborators

11 papers

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 $X$ , equipped with the intrinsic uniform $C^{2}$ topology. Let $\mathcal…

math.AT2026

Hamiltonian elements in algebraic K-theory

Yasha Savelyev

A Hamiltonian bundle $M ↪ P \to X$ (with monotone compact fibers) induces via Floer theory a type of ``bundle of $A_{\infty}$ categories'' over $X$ , with fiber given…

math.SG2025

A remark on deformation of Gromov non-squeezing

Yasha Savelyev

Let $R, r$ be as in the classical Gromov non-squeezing theorem, and let $I^µ = (I ¨ R^{2} - I ¨ r^{2}) / I ¨ r^{2}$ . We first conjecture that the Gromov non-squeezing phenomenon persists…

math.AT2025

Smooth simplicial sets and universal Chern-Weil for infinite dimensional groups

Yasha Savelyev

We give the construction of the universal, natural up to homotopy Chern-Weil differential graded algebra homomorphism: $c w : I (G) \to I^c ◯^{∙} (B G, R)$ fo…

cs.GT2025

Simultaneous Go via quantum collapse

Yasha Savelyev

We construct a symmetric, simultaneous, deterministic evolution game $S G o$ , which is in a certain mathematical sense a symmetrization of the classical board game Go. $S G o$ is in so…