Alexander A. Gaifullin

collaborators

3 papers

math.GT2026

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

Alexander A. Gaifullin

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.MG2026

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…

math.GR2026

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 $I^£_{g}^{b}$ 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…

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

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(F3​)

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