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PreprintarXiv licencearXiv

Torus actions, almost non-negative curvature and fundamental groups

  • Michael Wiemeler
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Abstract

We show that purely topological torus symmetries impose strong restrictions on the fundamental groups of almost non-negatively curved closed manifolds and on their actions on higher homotopy groups, even when the torus action is unrelated to the metric.

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Cite

BibTeXRIS
BibTeX
@misc{wiemeler2026torus,
  title = {{Torus actions, almost non-negative curvature and fundamental groups}},
  author = {Michael Wiemeler},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.27249},
  eprint = {2608.27249},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.27249},
}
RIS
TY  - UNPB
TI  - Torus actions, almost non-negative curvature and fundamental groups
AU  - Michael Wiemeler
PY  - 2026
DA  - 2026/10/03
PB  - arXiv
DO  - 10.48550/arxiv.2608.27249
UR  - https://arxiv.org/abs/2608.27249
AB  - We show that purely topological torus symmetries impose strong restrictions on the fundamental groups of almost non-negatively curved closed manifolds and on their actions on higher homotopy groups, even when the torus action is unrelated to the metric.
ER  -