dorsal/arxiv
View SchemaThe Casson-Walker-Lescop Invariant as a Quantum 3-manifold Invariant
| Authors | Nathan Habegger, Anna Beliakova |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9708029 |
| URL | https://arxiv.org/abs/q-alg/9708029 |
Abstract
We give a direct computational proof that the degree 1 part of the Le-Murakami-Ohtsuki invariant of a closed oriented 3-manifold M is determined by the Casson-Walker-Lescop invariant. Moreover, if the first Betti number of M is equal to 2, the Le-Murakami-Ohtsuki invariant is determined by the Lescop generalization of the Casson-Walker invariant.
{
"annotation_id": "7c325cdc-4678-47ea-96d4-4ad8f2c27b2f",
"date_created": "2026-03-02T18:01:28.821000Z",
"date_modified": "2026-03-02T18:01:28.821000Z",
"file_hash": "43c2461832dd3d3751869f9a4357e0da54b0857fbc9b725a353b44f594b9b5ee",
"private": false,
"record": {
"abstract": "We give a direct computational proof that the degree 1 part of the\nLe-Murakami-Ohtsuki invariant of a closed oriented 3-manifold M is determined\nby the Casson-Walker-Lescop invariant. Moreover, if the first Betti number of M\nis equal to 2, the Le-Murakami-Ohtsuki invariant is determined by the Lescop\ngeneralization of the Casson-Walker invariant.",
"arxiv_id": "q-alg/9708029",
"authors": [
"Nathan Habegger",
"Anna Beliakova"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "The Casson-Walker-Lescop Invariant as a Quantum 3-manifold Invariant",
"url": "https://arxiv.org/abs/q-alg/9708029"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "68c10713-3b69-48c4-83d4-032952876b88",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}