Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2018
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/1801.02301 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917956292706304 |
|---|---|
| author | Sun, Weifeng |
| author_facet | Sun, Weifeng |
| contents | Previously, Cristofaro-Gardiner, Hutchings and Ramos have proved that embedded contact homology (ECH) capacities can recover the volume of a contact 3-manifod in their paper "the asymptotics of ECH capacities" . There were two main steps to proving this theorem: The first step used an estimate for the energy of min-max Seiberg-Witten Floer generators. The second step used embedded balls in a certain symplectic four manifold.
In this paper, stronger estimates on the energy of min-max Seiberg-Witten Floer generators are derived. This stronger estimate implies directly the "ECH capacities recover volume" theorem (without the help of embedded balls in a certain symplectic four manifold), and moreover, gives an estimate on its speed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1801_02301 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | An estimate on energy of min-max Seiberg-Witten Floer generators Sun, Weifeng Symplectic Geometry Geometric Topology Previously, Cristofaro-Gardiner, Hutchings and Ramos have proved that embedded contact homology (ECH) capacities can recover the volume of a contact 3-manifod in their paper "the asymptotics of ECH capacities" . There were two main steps to proving this theorem: The first step used an estimate for the energy of min-max Seiberg-Witten Floer generators. The second step used embedded balls in a certain symplectic four manifold. In this paper, stronger estimates on the energy of min-max Seiberg-Witten Floer generators are derived. This stronger estimate implies directly the "ECH capacities recover volume" theorem (without the help of embedded balls in a certain symplectic four manifold), and moreover, gives an estimate on its speed. |
| title | An estimate on energy of min-max Seiberg-Witten Floer generators |
| topic | Symplectic Geometry Geometric Topology |
| url | https://arxiv.org/abs/1801.02301 |