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PreprintarXiv licencearXiv

The graph complex and the homology of the general linear groups revisited

Abstract

We revisit the relation between the Kontsevich commutative graph complex and the homology of GL(n,Z) found by Brown--Chan--Galatius--Payne using the sharbly complex of Ash--Miller--Patzt.

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BibTeX
@misc{patzt2026graph,
  title = {{The graph complex and the homology of the general linear groups revisited}},
  author = {Peter Patzt and Thomas Willwacher},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.12263},
  eprint = {2610.12263},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.12263},
}
RIS
TY  - UNPB
TI  - The graph complex and the homology of the general linear groups revisited
AU  - Peter Patzt
AU  - Thomas Willwacher
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2610.12263
UR  - https://arxiv.org/abs/2610.12263
AB  - We revisit the relation between the Kontsevich commutative graph complex and the homology of GL(n,Z) found by Brown--Chan--Galatius--Payne using the sharbly complex of Ash--Miller--Patzt.
ER  -