DOI: 10.1017/s0305004126102217 ISSN: 0305-0041

Non-decomposable Lagrangian cobordisms between Legendrian knots

ROMAN GOLOVKO, DANIEL KOMÁREK
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Abstract

For a given

g greater than 0 g > 0 $g\gt0$
, we construct a family of non-decomposable Lagrangian cobordisms of genus g between (stabilised) Legendrian knots in the standard contact three-sphere. The main technique we use to obstruct decomposability is based on Livingston’s estimates.

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