dorsal/arxiv
View SchemaA note on somewhere positive loops of contactomorphisms
| Authors | Igor Uljarević |
|---|---|
| Categories | |
| ArXiv ID | 2601.07714vv1 |
| URL | https://arxiv.org/abs/2601.07714 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
In this note, we consider contractible loops of contactomorphisms that are positive over some non-empty closed subset of a contact manifold. Such closed subsets are called immaterial. We argue that the complement of a Reeb-invariant immaterial subset can be seen as big in contact geometric terms. This is supported by two results: one regarding symplectic homology of the filling and the other regarding recently introduced contact quasi-measures.
{
"annotation_id": "55fd3462-5688-4fed-be3d-c2a062878895",
"date_created": "2026-02-17T05:53:12.530000Z",
"date_modified": "2026-02-17T05:53:12.530000Z",
"file_hash": "5ef1ff7d2876d5a6fb7e09b3e5643129b37e4151db6d0b949ea5396871a01122",
"private": false,
"record": {
"abstract": "In this note, we consider contractible loops of contactomorphisms that are positive over some non-empty closed subset of a contact manifold. Such closed subsets are called immaterial. We argue that the complement of a Reeb-invariant immaterial subset can be seen as big in contact geometric terms. This is supported by two results: one regarding symplectic homology of the filling and the other regarding recently introduced contact quasi-measures.",
"arxiv_id": "2601.07714",
"authors": [
"Igor Uljarevi\u0107"
],
"categories": [
"math.SG"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "A note on somewhere positive loops of contactomorphisms",
"url": "https://arxiv.org/abs/2601.07714",
"version": "v1"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "60bc9f54-a8ad-41a2-92d1-5444eece24e4",
"id": "arXiv Dataset",
"type": "Model",
"variant": "snapshot-2026-01-17",
"version": "0.1.0"
},
"user_id": 1000002
}