Stratified simplices and intersection homology
| dc.creator | Fine, Jonathan | |
| dc.date | 1998-07-23 | |
| dc.date | 1998-09-17 | |
| dc.date.accessioned | 2026-07-07T05:25:29Z | |
| dc.date.available | 2026-07-07T05:25:29Z | |
| dc.description | Intersection homology is obtained from ordinary homology by imposing conditions on how the embedded simplices meet the strata of a space $X$. In this way, for the middle perversity, properties such as strong Lefschetz are preserved. This paper defines local-global intersection homology groups, that record global information about the singularities of $X$. They differ from intersection homology in that stratified rather than ordinary simplices are used. An example of such is $σ_j\times Cσ_i$, where $σ_i$ and $σ_j$ are ordinary simplices, and $C$ is the coning operator. The paper concludes with a sketch of the relationship between local-global homology and the geometry of convex polytopes. This paper is a more formal exposition of part of the author's `Local-global intersection homology', alg-geom/9709011. | |
| dc.description | Concise statement of topological definitions in `Local global intersection homology', alg-geom/9709011. LaTeX 2e, 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/9807128 | |
| dc.identifier | http://arxiv.org/abs/math/9807128 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77198 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Combinatorics | |
| dc.subject | 55N33;14E15;14M25;52B | |
| dc.title | Stratified simplices and intersection homology | |
| dc.type | text |