| dc.creator | Moran, Federico Cantero | |
| dc.creator | Randal-Williams, Oscar | |
| dc.date.accessioned | 2016-05-30 | |
| dc.date.accessioned | 2018-11-24T23:26:48Z | |
| dc.date.available | 2016-06-27T13:57:11Z | |
| dc.date.available | 2018-11-24T23:26:48Z | |
| dc.date.issued | 2016 | |
| dc.identifier | https://www.repository.cam.ac.uk/handle/1810/256496 | |
| dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/3888 | |
| dc.description.abstract | We study the space of oriented genus $\textit{g}$ subsurfaces of a fixed manifold $\textit{M}$, and in particular its homological properties. We construct a “scanning map” which compares this space to the space of sections of a certain fibre bundle over $\textit{M}$ associated to its tangent bundle, and show that this map induces an isomorphism on homology in a range of degrees. Our results are analogous to McDuff’s theorem on configuration spaces, extended from 0-dimensional submanifolds to 2-dimensional submanifolds. | |
| dc.language | en | |
| dc.publisher | Mathematical Sciences Publisher | |
| dc.publisher | Geometry & Topology | |
| dc.title | Homological Stability for Spaces of Embedded Surfaces | |
| dc.type | Article | |
