On binding sums of contact manifolds
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913494121578496 |
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| author | Rodriguez, Miguel Orbegozo |
| author_facet | Rodriguez, Miguel Orbegozo |
| contents | In this short note, we give examples of binding sums of contact 3-manifolds that do not preserve properties such as tightness or symplectic fillability. We also prove vanishing of the Heegaard Floer contact invariant for an infinite family of binding sums where the summands are Stein fillable. This recovers a result of Wendl and Latschev-Wendl. Along the way, we rectify a subtle computational error in a paper of Juhasz-Kang concerning the spectral order of a neighbourhood of a Giroux torsion domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_05612 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On binding sums of contact manifolds Rodriguez, Miguel Orbegozo Geometric Topology 57K33, 57K18 (57K20) In this short note, we give examples of binding sums of contact 3-manifolds that do not preserve properties such as tightness or symplectic fillability. We also prove vanishing of the Heegaard Floer contact invariant for an infinite family of binding sums where the summands are Stein fillable. This recovers a result of Wendl and Latschev-Wendl. Along the way, we rectify a subtle computational error in a paper of Juhasz-Kang concerning the spectral order of a neighbourhood of a Giroux torsion domain. |
| title | On binding sums of contact manifolds |
| topic | Geometric Topology 57K33, 57K18 (57K20) |
| url | https://arxiv.org/abs/2409.05612 |