3 papers
math.AT2026
Borsuk-Ulam Type Theorems and Mountain Climbing Problem
Ilya M. Shirokov, Andrey V. Malyutin, Alisa Volkova
In this paper, we present a new qualitative extension of the Hopf theorem (and a generalization of Borsuk-Ulam theorem), concerning continuous maps from a compact Riemannian ma…
cond-mat.str-el2026
QCommute: a tool for symbolic computation of nested commutators in quantum many-body spin-1/2 systems
Oleg Lychkovskiy, Viacheslav Khrushchev, Ilya Shirokov
We present QCommute, a software tool implemented in C++ for symbolic computation of nested commutators between a Hamiltonian and local observables in quantum many-body spin-1/2 sys…
math.MG2025
Hopf-type theorems for convex surfaces
I. M. Shirokov
In this paper we study variations of the Hopf theorem concerning continuous maps of a compact Riemannian manifold of dimension to . We investigate the cas…