Blow-up formulas for (-2)-spheres
| dc.creator | Brussee, Rogier | |
| dc.date | 1994-12-23 | |
| dc.date.accessioned | 2026-07-07T09:12:29Z | |
| dc.date.available | 2026-07-07T09:12:29Z | |
| dc.description | Let $X$ be a simply connected 4-manifold containing a $(-1)$-sphere $e$. Fintushel and Stern prove that $$ D_c(\exp(te)) = D_c(B(t)) on e^\perp if c\cdot e is even, $$ $$ D_c(\exp(te)) = D_{c-e}(S(t)) on e^\perp if c \cdot e is odd, $$ for some universal series $B(t),S(t) \in \Q[x][[t]]$ with $x$ the class of a point. We show that their method can easily be extended to $(-2)$-spheres $τ$ to give blow up formulas like $$ D_c(\exp(tτ)) = D_c(B^2(t) + S^2(t)/2 τ^2) on τ^perp if c\cdot τis even. $$ | |
| dc.description | 6 pages, AMS-latex version 1.1 | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9412004 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9412004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152035 | |
| dc.subject | Differential Geometry | |
| dc.title | Blow-up formulas for (-2)-spheres | |
| dc.type | text |