2.2k citations
- California Institute of TechnologyUS9 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Max Planck Institute for Dynamics and Self-OrganizationDE5 papers
- Norwegian University of Science and TechnologyNO5 papers
- University of California, BerkeleyUS5 papers
- Brookhaven National LaboratoryUS4 papers
- IIT@MITUS4 papers
- Leiden UniversityNL4 papers
- Max Planck SocietyDE4 papers
- SKA ObservatoryGB4 papers
- University of California San DiegoUS4 papers
- University of CambridgeGB4 papers
8 papers · 2 filters
The Lefschetz property for barycentric subdivisions of shellable complexes
Martina Kubitzke, Eran Nevo
We show that an 'almost strong Lefschetz' property holds for the barycentric subdivision of a shellable complex. From this we conclude that for the barycentric subdivision of a Coh…
Socles of Buchsbaum modules, complexes and posets
Isabella Novik, Ed Swartz
The socle of a graded Buchsbaum module is studied and is related to its local cohomology modules. This algebraic result is then applied to face enumeration of Buchsbaum simplicial…
A Kruskal-Katona Type Theorem for Graphs
Andy Frohmader
A bound on consecutive clique numbers of graphs is established. This bound is evaluated and shown to often be much better than the bound of the Kruskal-Katona theorem. A bound on n…
Face enumeration - from spheres to manifolds
Ed Swartz
We prove a number of new restrictions on the enumerative properties of homology manifolds and semi-Eulerian complexes and posets. These include a determination of the affine span o…
On the Embeddability of Skeleta of Spheres
Eran Nevo, Uli Wagner
We consider a generalization of the van Kampen-Flores Theorem and relate it to the long-standing -conjecture for simplicial spheres.
Coloring complexes and arrangements
Patricia Hersh, Ed Swartz
Steingrimsson's coloring complex and Jonsson's unipolar complex are interpreted in terms of hyperplane arrangements. This viewpoint leads to short proofs that all coloring complexe…