3 papers
math.AT2026
Finite subset spaces of spheres
Jacob Mostovoy
We find the complete rational homology for the finite subset spaces of a -dimensional sphere. We also determine the integral homology in top degrees and obtain a partial des…
math.GR2025
Round twin groups on few strands
Jacob Mostovoy
We study the space of all configurations of ordered points on the circle such that no three points coincide, and in which one of the points (say, the last one) is fixed.…
math.GT2024
A complete invariant for doodles on a 2-sphere
Jacob Mostovoy
We define a complete invariant for doodles on a 2-sphere which takes values in series of chord diagrams of certain type. The coefficients at the diagrams with chords are finite…