Instanton counting and Donaldson invariants
| dc.creator | Göttsche, Lothar | |
| dc.creator | Nakajima, Hiraku | |
| dc.creator | Yoshioka, Kota | |
| dc.date | 2006-06-08 | |
| dc.date | 2006-10-12 | |
| dc.date.accessioned | 2026-07-07T07:17:04Z | |
| dc.date.available | 2026-07-07T07:17:04Z | |
| dc.description | For a smooth projective toric surface we determine the Donaldson invariants and their wallcrossing in terms of the Nekrasov partition function. Using the solution of the Nekrasov conjecture math.AG/0306198, hep-th/0306238, math.AG/0409441 and its refinement math.AG/0311058, we apply this result to give a generating function for the wallcrossing of Donaldson invariants of good walls of simply connected projective surfaces with $b_+=1$ in terms of modular forms. This formula was proved earlier in alg-geom/9506018 more generally for simply connected 4-manifolds with $b_+=1$, assuming the Kotschick-Morgan conjecture and it was also derived by physical arguments in hep-th/9709193. | |
| dc.description | 45pages, typos corrected, update the reference to a new version of Mochizuki's paper math.AG/0210211 | |
| dc.identifier | https://arxiv.org/abs/math/0606180 | |
| dc.identifier | http://arxiv.org/abs/math/0606180 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113809 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Differential Geometry | |
| dc.subject | 14D21;57R57;81T13;81T60 | |
| dc.title | Instanton counting and Donaldson invariants | |
| dc.type | text |