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Doughnut or Mickey Mouse? Detecting Toroidal Structure in Data through Persistent Cup-Length

Ivshina ES, Anikeeva G, Zhou L.

ArXiv preprint (2025).

This paper introduces the first practical implementation of persistent cup-length and applies it to detect toroidal structure in grid cell populations.

Presented at

  • Computational Geometry Week, Japan (2026)
  • Young Topologists Meeting, Stockholm (2026)
  • LOGML — London Geometry and Machine Learning (2026)