Product Structures for Legendrian Contact Homology

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dc.creatorCivan, Gokhan
dc.creatorEtnyre, John B.
dc.creatorKoprowski, Paul
dc.creatorSabloff, Joshua M.
dc.creatorWalker, Alden
dc.date2009-01-05
dc.date.accessioned2026-07-07T12:24:36Z
dc.date.available2026-07-07T12:24:36Z
dc.descriptionLegendrian contact homology (LCH) and its associated differential graded algebra are powerful non-classical invariants of Legendrian knots. Linearization makes the LCH computationally tractable at the expense of discarding nonlinear (and noncommutative) information. To recover some of the nonlinear information while preserving computability, we introduce invariant cup and Massey products - and, more generally, an A_\infty structure - on the linearized LCH. We apply the products and A_\infty structure in three ways: to find infinite families of Legendrian knots that are not isotopic to their Legendrian mirrors, to reinterpret the duality theorem of the fourth author in terms of the cup product, and to recover higher-order linearizations of the LCH.
dc.description21 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0901.0490
dc.identifierhttp://arxiv.org/abs/0901.0490
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214376
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.subject57R17, 53D10
dc.titleProduct Structures for Legendrian Contact Homology
dc.typetext

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