The second rational homology of the Torelli group is finitely generated

• DOI: 10.48550/arxiv.2307.07082
• Publication Date: 2023-01-01
• Authors: Daniel Minahan
• Keywords: Homology

We prove that second rational homology of the Torelli group an orientable closed surface genus g is finite dimensional for at least 51. This rules out simplest obstruction to being finitely presented and provides a partial answer question Bestvina.