Arkiv för Matematik

Exact Lagrangian caps and non-uniruled Lagrangian submanifolds

Georgios Dimitroglou Rizell

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We make the elementary observation that the Lagrangian submanifolds of Cn, n≥3, constructed by Ekholm, Eliashberg, Murphy and Smith are non-uniruled and, moreover, have infinite relative Gromov width. The construction of these submanifolds involve exact Lagrangian caps, which obviously are non-uniruled in themselves. This property is also used to show that if a Legendrian submanifold inside a contactisation admits an exact Lagrangian cap, then its Chekanov–Eliashberg algebra is acyclic.


This work was partially supported by the ERC starting grant of Frédéric Bourgeois StG-239781-ContactMath.

Article information

Ark. Mat., Volume 53, Number 1 (2015), 37-64.

Received: 24 June 2013
Revised: 31 March 2014
First available in Project Euclid: 30 January 2017

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2014 © Institut Mittag-Leffler


Dimitroglou Rizell, Georgios. Exact Lagrangian caps and non-uniruled Lagrangian submanifolds. Ark. Mat. 53 (2015), no. 1, 37--64. doi:10.1007/s11512-014-0202-y.

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