Math Papers

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Geography of bilinearized Legendrian contact homology
joint work with Damien Galant,
preprint arXiv:1905.12037 (27 pages).

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We study the geography of bilinearized Legendrian contact homology for closed, connected Legendrian submanifolds with vanishing Maslov class in 1-jet spaces. We show that this invariant detects whether the two augmentations used to define it are DGA homotopic or not. We describe a collection of graded vector spaces containing all possible values for bilinearized Legendrian contact homology and then show that all these vector spaces can be realized.

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This paper is available on the arXiv preprint server.

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