On topologically distinct infinite families of exact Lagrangian fillings

Roman Golovko

Archivum Mathematicum (2022)

  • Volume: 058, Issue: 5, page 287-293
  • ISSN: 0044-8753

Abstract

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In this note we construct examples of closed connected Legendrian submanifolds in high dimensional contact vector space that admit an arbitrary finite number of topologically distinct infinite families of diffeomorphic, but not Hamiltonian isotopic exact Lagrangian fillings.

How to cite

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Golovko, Roman. "On topologically distinct infinite families of exact Lagrangian fillings." Archivum Mathematicum 058.5 (2022): 287-293. <http://eudml.org/doc/298936>.

@article{Golovko2022,
abstract = {In this note we construct examples of closed connected Legendrian submanifolds in high dimensional contact vector space that admit an arbitrary finite number of topologically distinct infinite families of diffeomorphic, but not Hamiltonian isotopic exact Lagrangian fillings.},
author = {Golovko, Roman},
journal = {Archivum Mathematicum},
keywords = {polyfillability; Legendrian submanifold; exact Lagrangian filling},
language = {eng},
number = {5},
pages = {287-293},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On topologically distinct infinite families of exact Lagrangian fillings},
url = {http://eudml.org/doc/298936},
volume = {058},
year = {2022},
}

TY - JOUR
AU - Golovko, Roman
TI - On topologically distinct infinite families of exact Lagrangian fillings
JO - Archivum Mathematicum
PY - 2022
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 058
IS - 5
SP - 287
EP - 293
AB - In this note we construct examples of closed connected Legendrian submanifolds in high dimensional contact vector space that admit an arbitrary finite number of topologically distinct infinite families of diffeomorphic, but not Hamiltonian isotopic exact Lagrangian fillings.
LA - eng
KW - polyfillability; Legendrian submanifold; exact Lagrangian filling
UR - http://eudml.org/doc/298936
ER -

References

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