17 citations · 47 across the 9 of their papers we have counts for
10 papers
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 are finitely generated in stable range. Namely, we prove t…
Finite generation of abelianizations of the genus 3 Johnson kernel and the commutator subgroup of the Torelli group for
Alexander A. Gaifullin
Let be a compact oriented surface of genus with boundary components, where . The Johnson kernel is the subgroup of the mapping class…
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…
Commutativity of involutive two-valued groups
Alexander A. Gaifullin
In 2022, V. M. Buchstaber, A. P. Veselov, and the author proved a number of classification results for involutive commutative two-valued groups, including a complete classification…
New examples and partial classification of 15-vertex triangulations of the quaternionic projective plane
Alexander A. Gaifullin
Brehm and Kühnel (1992) constructed three 15-vertex combinatorial 8-manifolds `like the quaternionic projective plane' with symmetry groups , , and $\ma…
634 vertex-transitive and more than non-vertex-transitive 27-vertex triangulations of manifolds like the octonionic projective plane
Alexander A. Gaifullin
In 1987 Brehm and Kühnel showed that any combinatorial -manifold with less than vertices is PL homeomorphic to the sphere and any combinatorial -manifold with exactl…
Small covers of graph-associahedra and realization of cycles
Alexander A. Gaifullin
An oriented connected closed manifold is called a URC-manifold if for any oriented connected closed manifold of the same dimension there exists a nonzero degree mapping…
The analytic continuation of volume and the Bellows conjecture in Lobachevsky spaces
Alexander A. Gaifullin
A flexible polyhedron in an n-dimensional space of constant curvature, namely, in the Euclidean space, or in the Lobachevsky space, or in the sphere, is a polyhedron with rigid (n-…
Construction of combinatorial manifolds with the prescribed sets of links of vertices
Alexander A. Gaifullin
To each oriented closed combinatorial manifold we assign the set (with repetitions) of isomorphism classes of links of its vertices. The obtained transformation L is the main objec…
Local formulae for combinatorial Pontrjagin classes
Alexander A. Gaifullin
By p(|K|) denote the characteristic class of a combinatorial manifold K given by the polynomial p in Pontrjagin classes of K. We prove that for any polynomial p there exists a func…