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Lagrangian Approximation of Totally Real Concordances

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arxiv 2408.16614 v2 pith:22LEO2EN submitted 2024-08-29 math.SG

Georgios Dimitroglou Rizell This is my paper · ORCID
classification math.SG
keywords lagrangianconcordanceconcordancesknottedrealtotallyapplicationsapproximated
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We show that a two-dimensional totally real concordance can be approximated by a Lagrangian concordance whose Legendrian boundary has been stabilised both positively and negatively sufficiently many times. The main applications that we provide are constructions of knotted Lagrangian concordances in arbitrary four-dimensional symplectiations, as well as of knotted Lagrangian tori in symplectisations of overtwisted contact three-manifolds.

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Cited by 1 Pith paper

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  1. Rationally Convex Surfaces with hyperbolic complex tangencies

    math.SG 2025-02 conditional novelty 8.0 of 10

    The authors construct the first rationally convex surfaces in C2 with only hyperbolic complex tangencies, in fillable and non-fillable versions.

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