Donaldson-Thomas theory of A_n x P^1
| dc.creator | Maulik, D. | |
| dc.creator | Oblomkov, A. | |
| dc.date | 2008-02-20 | |
| dc.date | 2008-09-17 | |
| dc.date.accessioned | 2026-07-07T10:03:07Z | |
| dc.date.available | 2026-07-07T10:03:07Z | |
| dc.description | We study the relative Donaldson-Thomas theory of A_n x P^1, where A_n is the surface resolution of a type A_n singularity. The action of divisor operators in the theory is expressed in terms of operators of the affine algebra \hat{gl}(n+1) on Fock space. Assuming a nondegeneracy conjecture, this gives a complete solution for the theory. The results complete the comparison of this theory with the Gromov-Witten theory of A_n x P^1 and the quantum cohomology of the Hilbert scheme of points on A_n. | |
| dc.description | 30 pages, 2 figures; minor changes | |
| dc.identifier | https://arxiv.org/abs/0802.2739 | |
| dc.identifier | http://arxiv.org/abs/0802.2739 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169167 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.title | Donaldson-Thomas theory of A_n x P^1 | |
| dc.type | text |