The contact homology of Legendrian submanifolds in R2n+1
Ekholm, Tobias ; Etnyre, John ; Sullivan, Michael
J. Differential Geom., Tome 69 (2005) no. 3, p. 177-305 / Harvested from Project Euclid
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We define the contact homology for Legendrian submanifolds in standard contact (2n + 1)-space using moduli spaces of holomorphic disks with Lagrangian boundary conditions in complex n-space. This homology provides new invariants of Legendrian isotopy which indicate that the theory of Legendrian isotopy is very rich. Indeed, in [4], the homology is used to detect infinite families of pairwise non-isotopic Legendrian submanifolds which are indistinguishable using previously known invariants.
Publié le : 2005-10-14
Classification:  
@article{1143651770,
     author = {Ekholm, Tobias and Etnyre, John and Sullivan, Michael},
     title = {The contact homology of Legendrian submanifolds in R<sup>2n+1</sup>},
     journal = {J. Differential Geom.},
     volume = {69},
     number = {3},
     year = {2005},
     pages = { 177-305},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1143651770}
}

Ekholm, Tobias; Etnyre, John; Sullivan, Michael. The contact homology of Legendrian submanifolds in R2n+1. J. Differential Geom., Tome 69 (2005) no. 3, pp.  177-305. http://gdmltest.u-ga.fr/item/1143651770/