Analytic subdivision invariants
| dc.creator | Chuang, Jer-Chin | |
| dc.date | 2008-07-26 | |
| dc.date.accessioned | 2026-07-07T09:53:09Z | |
| dc.date.available | 2026-07-07T09:53:09Z | |
| dc.description | This paper introduces an inner product on chain complexes of finite simplicial complexes that is well-adapted to the harmonic study of subdivisions. Its definition utilizes a decomposition of the chain spaces that suggests a sequence of subdivision invariants which we show do not all vanish for non-trivial subdivisions. We exhibit a combinatorial lower bound for these invariants and provide an effective algorithm for their computation. Unfortunately, these invariants cannot distinguish every subdivision nor do they necessarily increase over successive subdivisions. | |
| dc.identifier | https://arxiv.org/abs/0807.4235 | |
| dc.identifier | http://arxiv.org/abs/0807.4235 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165850 | |
| dc.subject | Geometric Topology | |
| dc.title | Analytic subdivision invariants | |
| dc.type | text |