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Legendrian Products
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This paper introduces two constructions of Legendrian submanifolds, called the Legendrian product and spinning, and computes their classical invariants, the Thurston-Bennequin invariant and the Maslov class, in R^{2n+1}. These constructions take two Legendrians K,L and returns a product K x L, they generalize other previous constructions in contact topology, such as frontspinning and hypercube tori, and are equivalent in R^{2n+1}. Interestingly, this construction relies upon the explicit embeddings of K,L and not their Legendrian isotopy classes.
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The h-principle fails for prelegendrians in corank 2 fat distributions
In corank-2 fat distributions, infinitely many prelegendrian tori share one formal class but are pairwise non-isotopic, detected by Legendrian contact homology of their canonical lifts.
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