Algebraic and Giroux torsion in higher-dimensional contact manifolds
Algebraic and Geometric Topology, Tome 24 (2024) no. 6, pp. 3199-3234
Voir la notice de l'article provenant de la source Mathematical Sciences Publishers
We construct examples in any odd dimension of contact manifolds with finite and nonzero algebraic torsion (in the sense of Latschev and Wendl (2011)), which are therefore tight and do not admit strong symplectic fillings. We prove that Giroux torsion implies algebraic 1–torsion in any odd dimension, which proves a conjecture of Massot, Niederkrüger and Wendl (2013). These results are part of the author’s PhD thesis.
Keywords:
contact manifolds, symplectic manifolds, symplectic field
theory, holomorphic curves
Affiliations des auteurs :
Moreno, Agustin 1
@article{10_2140_agt_2024_24_3199,
author = {Moreno, Agustin},
title = {Algebraic and {Giroux} torsion in higher-dimensional contact manifolds},
journal = {Algebraic and Geometric Topology},
pages = {3199--3234},
publisher = {mathdoc},
volume = {24},
number = {6},
year = {2024},
doi = {10.2140/agt.2024.24.3199},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2024.24.3199/}
}
TY - JOUR AU - Moreno, Agustin TI - Algebraic and Giroux torsion in higher-dimensional contact manifolds JO - Algebraic and Geometric Topology PY - 2024 SP - 3199 EP - 3234 VL - 24 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2024.24.3199/ DO - 10.2140/agt.2024.24.3199 ID - 10_2140_agt_2024_24_3199 ER -
%0 Journal Article %A Moreno, Agustin %T Algebraic and Giroux torsion in higher-dimensional contact manifolds %J Algebraic and Geometric Topology %D 2024 %P 3199-3234 %V 24 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2024.24.3199/ %R 10.2140/agt.2024.24.3199 %F 10_2140_agt_2024_24_3199
Moreno, Agustin. Algebraic and Giroux torsion in higher-dimensional contact manifolds. Algebraic and Geometric Topology, Tome 24 (2024) no. 6, pp. 3199-3234. doi: 10.2140/agt.2024.24.3199
Cité par Sources :