Articles by Marcelo Aguiar

Mobius functions for real hyperplane arrangements.

-- Marcelo Aguiar (Cornell Univ.)

We discuss the beginnings of a theory of noncommutative Mobius functions and its connections to the structure of the algebra of faces of a hyperplane arrangement. It is to be seen as a generalization of the theory of Mobius functions for lattices, developed by Rota and his school in the ...

Topics in hyperplane arrangements

-- Marcelo Aguiar (Cornell University)

We will discuss a number of geometric and algebraic constructions associated to real hyperplane arrangements, focusing on the monoid of faces and the category of lunes of the arrangement. We will then discuss the beginnings of a theory of noncommutative Mobius functions and its connections to the structure of the ...