Lagrangian Realizations of Ribbon Cobordisms

Caitlin Leverson; John B. Etnyre

Lagrangian Realizations of Ribbon Cobordisms

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arxiv 2410.06305 v1 pith:BHBVJHR6 submitted 2024-10-08 math.SG

John B. Etnyre , Caitlin Leverson This is my paper · ORCID

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keywords cobordismslagrangianribbondecomposabledefinefindlegendrianlinks

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We show that up to stabilizations, smooth ribbon cobordisms can be realized by decomposable Lagrangian cobordisms. We also define the notion of stabilization for Lagrangian cobordisms and show that it can be used to find new Lagrangian cobordisms between Legendrian links.

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Non-decomposable Lagrangian cobordisms between Legendrian knots
math.SG 2025-11 conditional novelty 6.0 of 10

For every genus g>0, the authors build non-decomposable Lagrangian cobordisms of genus g between stabilized Legendrian knots, using Livingston's estimates to obstruct decomposability.

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