Lower bound for Buchstaber invariants of real universal complexes

Abstract

In this article, we prove that Buchstaber invariant of 4-dimensional real universal complex is no less than 24 as a follow-up to the work of Ayzenberg and Sun. Moreover, a lower bound for Buchstaber invariants of $n$-dimensional real universal complexes is given as an improvement of result of Erokhovets.

15 pages, minor changes in version 2

References in corpus (3)

• The problem of Buchstaber number and its combinatorial aspects
• Equivariant bordism of 2-torus manifolds and unitary toric manifolds--a survey
• On the Solutions of det(A/X)=+-d

Cited by in corpus (1)

• Toric wedge induction and toric lifting property for piecewise linear spheres with a few vertices