Exact Lagrangian caps of Legendrian knots

Francesco Lin

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We prove that any Legendrian knot in (S3, ξstd) bounds an exact Lagrangian surface in ℝ4 \ B4 after a sufficient number of stabilizations. In order to do this, we define Lagrangian projections, consisting of a knot projection along with some additional information, and construct a family of combinatorial moves which correspond to Lagrangian cobordisms between knots.

Original languageEnglish (US)
Pages (from-to)269-295
Number of pages27
JournalJournal of Symplectic Geometry
Volume14
Issue number1
DOIs
StatePublished - Jan 1 2016

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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