4 papers
math.MG2016
A criterion for a locally distributive semilattice to have CAT(0) orthoscheme complex
Shouta Tounai
In this paper, we give a simple criterion for a locally distributive semilattice to have CAT(0) orthoscheme complex. Namely, the orthoscheme complex of a locally distributive semil…
math.AT2014
Frobenius complexes and the homotopy colimit of a diagram of posets over a poset
Shouta Tounai
An affine monoid is an additive monoid which is cancellative, pointed and finitely generated. An affine monoid has the partial order defined by . The Frobenius compl…
math.AC2013
Homotopy type of Frobenius complexes II
Shouta Tounai
A finitely generated additive submonoid of has the partial order defined by for . The Frobenius complex is the order complex of an open i…
math.AC2013
Homotopy type of Frobenius complexes
Shouta Tounai
A submonoid A of N^d has a natural order defined by a <= a + b for elements a and b of A. The Frobenius complex is the order complex of an open interval of A with respect to this o…