K-theoretic Donaldson invariants via instanton counting
| dc.creator | Göttsche, Lothar | |
| dc.creator | Nakajima, Hiraku | |
| dc.creator | Yoshioka, Kota | |
| dc.date | 2006-11-30 | |
| dc.date.accessioned | 2026-07-07T07:33:32Z | |
| dc.date.available | 2026-07-07T07:33:32Z | |
| dc.description | In this paper we study the holomorphic Euler characteristics of determinant line bundles on moduli spaces of rank 2 semistable sheaves on an algebraic surface X, which can be viewed as $K$-theoretic versions of the Donaldson invariants. In particular, if X is a smooth projective toric surface, we determine these invariants and their wallcrossing in terms of the K-theoretic version of the Nekrasov partition function (called 5-dimensional supersymmetric Yang-Mills theory compactified on a circle in the physics literature). Using the results of math.AG/0606180 we give an explicit generating function for the wallcrossing of these invariants in terms of elliptic functions and modular forms. | |
| dc.description | 72 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0611945 | |
| dc.identifier | http://arxiv.org/abs/math/0611945 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119488 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Differential Geometry | |
| dc.subject | 14D20; 14D21; 57R57; 81T13; 81T60 | |
| dc.title | K-theoretic Donaldson invariants via instanton counting | |
| dc.type | text |