Y. Savelyev

activity

20072026

most citedQuantum characteristic classes and the Hofer metric

22 citations · 26 across the 30 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.SG2023

Elliptic curves in lcs manifolds and metric invariants

Yasha Savelyev

We study invariants defined by count of charged, elliptic $J$ -holomorphic curves in locally conformally symplectic manifolds. We use this to define $Q$ -valued deformation…

math.DG2023

Untwisted Gromov-Witten invariants of Riemann-Finsler manifolds

Yasha Savelyev

We define a $Q$ -valued deformation invariant of certain complete Riemann-Finsler manifolds, in particular of complete Riemannian manifolds with non positive sectional curv…

math.SG2023

A remark on deformation of Gromov non-squeezing

Yasha Savelyev

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