Vanishing near the virtual cohomological dimension of $\mathrm{SL}_n(\mathbb Z)$

We prove the Church--Farb--Putman conjecture that \[ H^{N_n-i}(\mathrm{SL}_n(\mathbb Z);\mathbb Q)=0, \qquad N_n=\binom n2,\quad n\ge2,\quad 0\le i

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-29
DOI
https://doi.org/10.48550/arxiv.2610.39960
Primary Topic
Geometric and Algebraic Topology
Type
preprint
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preprint

Vanishing near the virtual cohomological dimension of $\mathrm{SL}_n(\mathbb Z)$

Taiwang Deng
arXiv (Cornell University)
Geometric and Algebraic Topology
preprint

Vanishing near the virtual cohomological dimension of $\mathrm{SL}_n(\mathbb Z)$

Taiwang Deng
preprint en

Abstract

We prove the Church--Farb--Putman conjecture that \[ H^{N_n-i}(\mathrm{SL}_n(\mathbb Z);\mathbb Q)=0, \qquad N_n=\binom n2,\quad n\ge2,\quad 0\le i

arXiv (Cornell University)
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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Vanishing near the virtual cohomological dimension of $\mathrm{SL}_n(\mathbb Z)$ — Taiwang Deng · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS