Non-isotopic Legendrian Submanifolds in $\R^{2n+1}$
Joint work with Tobias Ekholm and Michael G. Sullivan,
J. Differential Geom. 71 (2005), no. 1, 85-128.

The contact homology, rigorously defined in The Contact Homology of Legendrian Submanifolds in $\R^{(2n+1)}$, is computed for a number of Legendrian submanifolds in standard contact $(2n+1)$-space. The homology is used to detect infinite families of pairwise non-isotopic Legendrian n-spheres, n-tori, and surfaces which are indistinguishable using previously known invariants.

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