4 papers · 1 filter
Moment angle complexes and duality for tight manifolds
Daisuke Kishimoto, Donald Stanley, Carlos Gabriel Valenzuela Ruiz
For a field and a triangulated compact -orientable manifold, consider the homology of the associated Moment-Angle ccomplex …
Double, über and poset homology
Carlos Gabriel Valenzuela Ruiz
We present a comparison map between the uberhomology of a simplicial complex and the double homology of its associated moment-angle complex $\mathcal{Z}_{\mathcal{K}}…
Double homology and wedge-decomposable simplicial complexes
Donald Stanley, Carlos Gabriel Valenzuela Ruiz
We show a wedge-decomposable simplicial complex has associated double homology in bidegrees , .
Sphere Triangulations and their Double Homology
Carlos Gabriel Valenzuela Ruiz
We study the double homology associated to triangulated spheres and present two results. First, we explicitly compute the double homology for minimum degree sphere triangulations.…