Sphere Triangulations and their Double Homology
| Autor: | Ruiz, Carlos Gabriel Valenzuela |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Using a spectral sequence argument, we compute the effect of removing a maximal simplex of a non-neighborly sphere triangulation. Using these results and computational aid we generate complexes with exotic double homology rank. We also relate the double homology of a complex with how neighborly it is. Comment: 19 Pages. Clarified some of the proofs in the previous version, added more results regarding 2-spheres and neighborly spheres |
| Databáze: | arXiv |
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