I. Spiridonov

activity

20212024

most citedOn the structure of the top homology group of the Johnson kernel

2 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.GT2024

On the mapping class group action on the homology of surface covers

Igor Spiridonov

Let $ϕ \in Mod (Σ)$ be an arbitrary element of the mapping class group of a closed orientable surface $Σ$ of genus at least $2$ . For any characteristic cover $\widetildeΣ \to Σ…

math.CO2023

On linear preservers of permanental rank

Alexander Guterman, Igor Spiridonov

Let $Mat_{n} (F)$ denote the set of square $n \times n$ matrices over a field $F$ of characteristic different from two. The permanental rank $prk (A)$ of…

math.GT2022★ 1 cited

The top homology group of the genus 3 Torelli group

Igor A. Spiridonov

The Torelli group of a genus $g$ oriented surface $Σ_{g}$ is the subgroup $I_{g}$ of the mapping class group $Mod (Σ_{g})$ consisting of all mapping classes that act trivi…

math.GT2021★ 2 cited

On the structure of the top homology group of the Johnson kernel

Igor A. Spiridonov

The Johnson kernel is the subgroup $K_{g}$ of the mapping class group $Mod (Σ_{g})$ of a genus $g$ oriented closed surface $Σ_{g}$ generated by all Dehn twists about s…