Alexander A. Gaifullin

collaborators

3 papers

math.GT2026

Finite generation, algebraicity, and representation stability for homology of Torelli groups

We solve a long-standing problem of whether the homology groups of the Torelli subgroups $I_{g} \leq Mod_{g}$ are finitely generated in stable range. Namely, we prove t…

math.GR2025

Finite generation of abelianizations of the genus 3 Johnson kernel and the commutator subgroup of the Torelli group for $Out (F_{3})$

Alexander A. Gaifullin

Let $Σ_{g}^{b}$ be a compact oriented surface of genus $g$ with $b$ boundary components, where $b \in {0, 1}$ . The Johnson kernel $K_{g}^{b}$ is the subgroup of the mapping class…

math.MG2025

Exotic spherical flexible octahedra and counterexamples to the Modified Bellows Conjecture

Alexander A. Gaifullin

In 2014 the author showed that in the three-dimensional spherical space, alongside with three classical types of flexible octahedra constructed by Bricard, there exists a new type…

Finite generation, algebraicity, and representation stability for homology of Torelli groups

Finite generation of abelianizations of the genus 3 Johnson kernel and the commutator subgroup of the Torelli group for Out(F3​)

Exotic spherical flexible octahedra and counterexamples to the Modified Bellows Conjecture

Finite generation of abelianizations of the genus 3 Johnson kernel and the commutator subgroup of the Torelli group for $Out (F_{3})$