A complex structure on the set of quasiconformally extendible non-overlapping mappings into a Riemann surface
| dc.creator | Radnell, David | |
| dc.creator | Schippers, Eric | |
| dc.date | 2008-03-21 | |
| dc.date | 2008-07-18 | |
| dc.date.accessioned | 2026-07-07T09:50:49Z | |
| dc.date.available | 2026-07-07T09:50:49Z | |
| dc.description | Let Σbe a compact Riemann surface with n distinguished points p_1,...,p_n. We prove that the set of n-tuples (ϕ_1,...,ϕ_n) of univalent mappings ϕ_i from the open unit disc into Σmapping 0 to p_i, with non-overlapping images and quasiconformal extensions to a neighbourhood of the closed unit disk, carries a natural complex Banach manifold structure. This complex structure is locally modelled on the n-fold product of a two complex-dimensional extension of the universal Teichmueller space. Our results are motivated by Teichmueller theory and two-dimensional conformal field theory. | |
| dc.description | 12 pages. Minor corrections made. To appear in Journal d'Analyse Mathematique | |
| dc.identifier | https://arxiv.org/abs/0803.3211 | |
| dc.identifier | http://arxiv.org/abs/0803.3211 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165077 | |
| dc.subject | Complex Variables | |
| dc.subject | Mathematical Physics | |
| dc.subject | 30C55, 30C62, 30F60 (Primary) 81T40 (Secondary) | |
| dc.title | A complex structure on the set of quasiconformally extendible non-overlapping mappings into a Riemann surface | |
| dc.type | text |