An arrangement of hyperplanes is a finite collection of codimension one affine subspaces in
a finite dimensional vector space. Arrangements have emerged independently as important …

Here, the study of torus actions on topological spaces is presented as a bridge connecting
combinatorial and convex geometry with commutative and homological algebra, algebraic …

Sustainable traffic system management under conditions of uncertainty and inappropriate
road infrastructure is a responsible and complex task. In Bosnia and Herzegovina (BiH) …

This text aims to provide an introduction to the representation theory of finite monoids for
advanced graduate students and researchers in algebra, algebraic combinatorics, automata …

Hyperplane arrangement theory is a very active area of research, combining ideas from
combinatorics, algebraic topology and algebraic geometry in a blend that is both tasty and …

This paper will describe some recent developments in an area where combinatorics and
complexity theory on the one hand, and geometry and topology on the other, have interacted …

We prove combinatorial formulas for the homotopy type of the union of the subspaces in an
(affine, compactified affine, spherical or projective) subspace arrangement. From these …

We describe a regular cell complex model for the configuration space F (ℝ d, n). Based on
this, we use Equivariant Obstruction Theory to prove the prime power case of the conjecture …

To a plane algebraic curve of degree n, Moishezon associated a braid monodromy
homomorphism from a finitely generated free group to Artin's braid group B n. Using …

Let $ W $ be a group generated by reflections in $\Bbb R^ n $. $ W $ acts on the
complement $ Y\subset\Bbb C^ n $ of the complexification of the reflection hyperplanes of …