What is a monotone Lagrangian cobordism?

François Charette[1]

  • [1] Max Planck Institute for Mathematics Vivatsgasse 7 53111 Bonn (Germany)

Séminaire de théorie spectrale et géométrie (2012-2014)

  • Volume: 31, page 43-53
  • ISSN: 1624-5458

Abstract

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We explain the notion of Lagrangian cobordism. A flexibility/rigidity dichotomy is illustrated by considering Lagrangian tori in ℂ 2 . Towards the end, we present a recent construction by Cornea and the author [8], of monotone cobordisms that are not trivial in a suitable sense.

How to cite

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Charette, François. "What is a monotone Lagrangian cobordism?." Séminaire de théorie spectrale et géométrie 31 (2012-2014): 43-53. <http://eudml.org/doc/275818>.

@article{Charette2012-2014,
abstract = {We explain the notion of Lagrangian cobordism. A flexibility/rigidity dichotomy is illustrated by considering Lagrangian tori in $\mathbb\{C\}^2$. Towards the end, we present a recent construction by Cornea and the author [8], of monotone cobordisms that are not trivial in a suitable sense.},
affiliation = {Max Planck Institute for Mathematics Vivatsgasse 7 53111 Bonn (Germany)},
author = {Charette, François},
journal = {Séminaire de théorie spectrale et géométrie},
language = {eng},
pages = {43-53},
publisher = {Institut Fourier},
title = {What is a monotone Lagrangian cobordism?},
url = {http://eudml.org/doc/275818},
volume = {31},
year = {2012-2014},
}

TY - JOUR
AU - Charette, François
TI - What is a monotone Lagrangian cobordism?
JO - Séminaire de théorie spectrale et géométrie
PY - 2012-2014
PB - Institut Fourier
VL - 31
SP - 43
EP - 53
AB - We explain the notion of Lagrangian cobordism. A flexibility/rigidity dichotomy is illustrated by considering Lagrangian tori in $\mathbb{C}^2$. Towards the end, we present a recent construction by Cornea and the author [8], of monotone cobordisms that are not trivial in a suitable sense.
LA - eng
UR - http://eudml.org/doc/275818
ER -

References

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  13. Mikhael Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), 307-347 Zbl0592.53025MR809718
  14. Mikhael Gromov, Partial differential relations, 9 (1986), Springer-Verlag, Berlin Zbl0651.53001MR864505
  15. Clement Hyvrier, Lagrangian circle actions, (2013) 
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