activity
20012025
most citedSubtle Characteristic Classes

9 citations · 23 across the 7 of their papers we have counts for

collaborators

8 papers

hep-th2025

Vacuum Energy and Topological Mass in Interacting Elko and Scalar Field Theories

A. J. D. Farias Junior, A. Smirnov, Herondy F. Santana Mota +1

In this paper, we consider a four-dimensional system composed of a mass-dimension-one fermionic field, also known as Elko, interacting with a real scalar field. Our main objective…

nlin.SI2021★ 5 cited

On soliton solutions and soliton interactions of Kulish-Sklyanin and Hirota-Ohta systems

Vladimir S. Gerdjikov, Nianhua Li, Vladimir B. Matveev +1

In this paper we consider a simplest two-dimensional reduction of the remarkable three-dimensional Hirota-Ohta system. The Lax pair of the Hirota-Ohta system was extended to a Lax…

hep-th2018★ 3 cited

Quasi-Renormalizable Quantum Field Theories

Maxim V. Polyakov, Kirill M. Semenov-Tian-Shansky, Alexander O. Smirnov +1

Leading logarithms (LLs) in massless non-renormalizable effective field theories (EFTs) can be computed with the help of non-linear recurrence relations. These recurrence relations…

math.AG2014★ 9 cited

Subtle Characteristic Classes

Alexander Smirnov, Alexander Vishik

We construct new subtle Stiefel--Whitney classes of quadratic forms. These classes are much more informative than the ones introduced by Milnor. In particular, they see all the pow…

math.MG2012

Ptolemy spaces with strong inversions

Alexander Smirnov

We prove that a compact Ptolemy space with many strong inversions that contains a Ptolemy circle is Moebius equivalent to an extended Euclidean space.

math.GT2012

Quasi-isometric embedding of the fundamental group of an orthogonal graph-manifold into a product of metric trees

Alexander Smirnov

In every dimension we introduce a class of orthogonal graph-manifolds and prove that the fundamental group of any orthogonal graph-manifold quasi-isometrically embeds into…