Instanton Floer homology with Lagrangian boundary conditions
| dc.creator | Salamon, Dietmar A. | |
| dc.creator | Wehrheim, Katrin | |
| dc.date | 2006-07-13 | |
| dc.date | 2007-08-23 | |
| dc.date.accessioned | 2026-07-07T08:25:05Z | |
| dc.date.available | 2026-07-07T08:25:05Z | |
| dc.description | In this paper we define instanton Floer homology groups for a pair consisting of a compact oriented 3-manifold with boundary and a Lagrangian submanifold of the moduli space of flat SU(2)-connections over the boundary. We carry out the construction for a general class of irreducible, monotone boundary conditions. The main examples of such Lagrangian submanifolds are induced from a disjoint union of handle bodies such that the union of the 3-manifold and the handle bodies is an integral homology 3-sphere. The motivation for introducing these invariants arises from our program for a proof of the Atiyah-Floer conjecture for Heegaard splittings. We expect that our Floer homology groups are isomorphic to the usual Floer homology groups of the closed 3-manifold in our main example and thus can be used as a starting point for an adiabatic limit argument. | |
| dc.description | 154 pages, various small corrections and new description of dual domain of div-grad-curl operator on manifold with boundary | |
| dc.identifier | https://arxiv.org/abs/math/0607318 | |
| dc.identifier | http://arxiv.org/abs/math/0607318 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136550 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | General Topology | |
| dc.title | Instanton Floer homology with Lagrangian boundary conditions | |
| dc.type | text |