dorsal/arxiv
View SchemaFiniteness properties of the Torelli group of surfaces with 2 boundary components
| Authors | Charalampos Stylianakis |
|---|---|
| Categories | |
| ArXiv ID | 2601.05834vv1 |
| URL | https://arxiv.org/abs/2601.05834 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
In this paper we prove that the Torelli group of a surface of genus at least 3 with 2 boundary components is finitely generated. As a consequence, we answer Putman's question on the finite generation of the stabilizer subgroup of the Torelli group of a non separating simple closed curve. Furthermore, we prove that the Johnson's kernel is finitely generated if the genus of the surface is at least 5.
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"abstract": "In this paper we prove that the Torelli group of a surface of genus at least 3 with 2 boundary components is finitely generated. As a consequence, we answer Putman\u0027s question on the finite generation of the stabilizer subgroup of the Torelli group of a non separating simple closed curve. Furthermore, we prove that the Johnson\u0027s kernel is finitely generated if the genus of the surface is at least 5.",
"arxiv_id": "2601.05834",
"authors": [
"Charalampos Stylianakis"
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"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Finiteness properties of the Torelli group of surfaces with 2 boundary components",
"url": "https://arxiv.org/abs/2601.05834",
"version": "v1"
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