Simple Type is Not a Boundary Phenomenon
| dc.creator | Sadun, Lorenzo | |
| dc.date | 1997-12-22 | |
| dc.date.accessioned | 2026-07-25T16:58:06Z | |
| dc.description | This is an expository article, explaining recent work by D. Groisser and myself [GS] on the extent to which the boundary region of moduli space contributes to the ``simple type'' condition of Donaldson theory. The presentation is intended to complement [GS], presenting the essential ideas rather than the analytical details. It is shown that the boundary region of moduli space contributes 6/64 of the homology required for simple type, regardless of the topology or geometry of the underlying 4-manifold. The simple type condition thus reduces to a statement about the interior of moduli space, namely that the interior of the (k+1)st ASD moduli space, intersected with two representatives of (4 times) the point class, be homologous to 58 copies of the (k)-th moduli space. This is peculiar, since the only known embeddings of the (k)-th moduli space into the (k+1)st involve Taubes patching, and the image of such an embedding lies entirely in the boundary region. | |
| dc.description | Plain TeX, 12 pages | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9712015 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9712015 | |
| dc.identifier | In ``Geometry, Topology and Physics'', Apanasov et al. editors, pages 233-244 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/44608 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58D27 (Primary), 58D15, 58G99, 53C07, 35J60 (Secondary) | |
| dc.title | Simple Type is Not a Boundary Phenomenon | |
| dc.type | text |