Orientations in Legendrian Contact Homology and Exact Lagrangian Immersions
| dc.creator | Ekholm, Tobias | |
| dc.creator | Etnyre, John | |
| dc.creator | Sullivan, Michael G. | |
| dc.date | 2004-08-30 | |
| dc.date.accessioned | 2026-07-07T05:11:39Z | |
| dc.date.available | 2026-07-07T05:11:39Z | |
| dc.description | We show how to orient moduli spaces of holomorphic disks with boundary on an exact Lagrangian immersion of a spin manifold into complex n-space in a coherent manner. This allows us to lift the coefficients of the contact homology of Legendrian spin submanifolds of standard contact (2n+1)-space from Z_2 to Z. We demonstrate how the Z-lift provides a more refined invariant of Legendrian isotopy. We also apply contact homology to produce lower bounds on double points of certain exact Lagrangian immersions into C^n and again including orientations strengthens the results. More precisely, we prove that the number of double points of an exact Lagrangian immersion of a closed manifold M whose associated Legendrian embedding has good DGA is at least half of the dimension of the homology of M with coefficients in an arbitrary field if M is spin and in Z_2 otherwise. | |
| dc.description | 60 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0408411 | |
| dc.identifier | http://arxiv.org/abs/math/0408411 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72316 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D12; 53D10 | |
| dc.title | Orientations in Legendrian Contact Homology and Exact Lagrangian Immersions | |
| dc.type | text |