Gromov-Witten Invariants of Symplectic Sums
| dc.creator | Ionel, Eleny-Nicoleta | |
| dc.creator | Parker, Thomas H. | |
| dc.date | 1998-06-03 | |
| dc.date | 1998-07-07 | |
| dc.date.accessioned | 2026-07-07T05:24:55Z | |
| dc.date.available | 2026-07-07T05:24:55Z | |
| dc.description | The natural sum operation for symplectic manifolds is defined by gluing along codimension two submanifolds. Specifically, let X be a symplectic 2n-manifold with a symplectic (2n-2)-submanifold V. Given a similar pair (Y,W) with a symplectic identification V=W and a complex anti-linear isomorphism between the normal bundles of V and W, we can form the symplectic sum Z=X # Y. This note announces a general formula for computing the Gromov-Witten invariants of the sum Z in terms of relative Gromov-Witten invariants of (X,V) and (Y,W). Two applications are presented: a short derivation of the Caporaso-Harris formula [CH], and new proof that the rational enumerative invariants of the rational elliptic surface are given by the ``modular form'' (5.2). | |
| dc.description | AMS-LaTeX, 13 pages; repaginated and 7 typos fixed | |
| dc.identifier | https://arxiv.org/abs/math/9806013 | |
| dc.identifier | http://arxiv.org/abs/math/9806013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76993 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.title | Gromov-Witten Invariants of Symplectic Sums | |
| dc.type | text |