Algebraic and Giroux torsion in higher-dimensional contact manifolds
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arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866909357931757568 |
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| author | Moreno, Agustin |
| author_facet | Moreno, Agustin |
| contents | We construct examples in any odd dimension of contact manifolds with finite and non-zero algebraic torsion (in the sense of Latschev-Wendl), 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 by Massot-Niederkrueger-Wendl. These results are part of the author's PhD thesis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1903_11880 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Algebraic and Giroux torsion in higher-dimensional contact manifolds Moreno, Agustin Symplectic Geometry Geometric Topology We construct examples in any odd dimension of contact manifolds with finite and non-zero algebraic torsion (in the sense of Latschev-Wendl), 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 by Massot-Niederkrueger-Wendl. These results are part of the author's PhD thesis. |
| title | Algebraic and Giroux torsion in higher-dimensional contact manifolds |
| topic | Symplectic Geometry Geometric Topology |
| url | https://arxiv.org/abs/1903.11880 |