Non-isotopic Legendrian submanifolds in R2n+1
Ekholm, Tobias ; Etnyre, John ; Sullivan, Michael
J. Differential Geom., Tome 69 (2005) no. 3, p. 85-128 / Harvested from Project Euclid
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In the standard contact (2n + 1)-space when n > 1, we construct infinite families of pairwise non-Legendrian isotopic, Legendrian n-spheres, n-tori and surfaces which are indistinguishable using classically known invariants. When n is even, these are the first known examples of non-Legendrian isotopic, Legendrian submanifolds of (2n + 1)-space. Such constructions indicate a rich theory of Legendrian submanifolds. To distinguish our examples, we compute their contact homology which was rigorously defined in this situation in [7].
Publié le : 2005-09-14
Classification:  
@article{1143644313,
     author = {Ekholm, Tobias and Etnyre, John and Sullivan, Michael},
     title = {Non-isotopic Legendrian submanifolds in R<sup>2n+1</sup>},
     journal = {J. Differential Geom.},
     volume = {69},
     number = {3},
     year = {2005},
     pages = { 85-128},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1143644313}
}

Ekholm, Tobias; Etnyre, John; Sullivan, Michael. Non-isotopic Legendrian submanifolds in R2n+1. J. Differential Geom., Tome 69 (2005) no. 3, pp.  85-128. http://gdmltest.u-ga.fr/item/1143644313/