Zero-sets of near-symplectic forms
| dc.creator | Perutz, Tim | |
| dc.date | 2006-01-13 | |
| dc.date | 2007-01-15 | |
| dc.date.accessioned | 2026-07-07T07:40:35Z | |
| dc.date.available | 2026-07-07T07:40:35Z | |
| dc.description | We give elementary proofs of two `folklore' assertions about near-symplectic forms on four-manifolds: that any such form can be modified, by an evolutionary process taking place within a finite set of balls, so as to have a prescribed positive number of zero-circles; and that, on a closed manifold, the number of zero-circles for which the splitting of the normal bundle is trivial has the same parity as 1+b_1+b_2^+. | |
| dc.description | 19 pages, 2 figures; to appear in J. Symplectic Geometry. Expository changes in Sections 1 and 4; corrected mistake in the proof of what is now Prop. 1.5 | |
| dc.identifier | https://arxiv.org/abs/math/0601320 | |
| dc.identifier | http://arxiv.org/abs/math/0601320 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121817 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 57R17; 57R15 | |
| dc.title | Zero-sets of near-symplectic forms | |
| dc.type | text |