Subdivisions and transgressive chains
| dc.creator | Chuang, Jer-Chin | |
| dc.date | 2008-06-02 | |
| dc.date.accessioned | 2026-07-07T09:42:21Z | |
| dc.date.available | 2026-07-07T09:42:21Z | |
| dc.description | Combinatorial transgressions are secondary invariants of a space admitting triangulations. They arise from subdivisions and are analogous to transgressive forms such as those arising in Chern-Weil theory. Unlike combinatorial characteristic classes, combinatorial transgressions have not been previously studied. First, this article characterizes transgressions that are path-independent of subdivision sequence. The result is obtained by using a cohomology on posets that is shown to be equivalent to higher derived functors of the inverse (or projective) limit over the opposite poset. Second, a canonical local formula is demonstrated for a particular combinatorial transgression: namely, that relative the difference of Poincaré duals to the Euler class. | |
| dc.identifier | https://arxiv.org/abs/0806.0390 | |
| dc.identifier | http://arxiv.org/abs/0806.0390 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162154 | |
| dc.subject | Geometric Topology | |
| dc.title | Subdivisions and transgressive chains | |
| dc.type | text |