Minimal equatorial fillings

@misc{bernstein2026minimal,
  title = {{Minimal equatorial fillings}},
  author = {Jacob Bernstein and Daniel Ketover},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.26701},
  eprint = {2609.26701},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.26701},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Minimal equatorial fillings
AU  - Jacob Bernstein
AU  - Daniel Ketover
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.26701
UR  - https://arxiv.org/abs/2609.26701
AB  - We show that a great circle in 𝕊^3 bounds embedded non-orientable minimal surfaces of unbounded genera and all possible non-zero Euler numbers. This answers a question of R. Hardt and H. Rosenberg (1990). It also gives the first example of a real analytic Jordan curve bounding infinitely many embedded minimal surfaces of distinct topological types. Such surfaces may arise as the links of boundary singularities of non-orientable minimal hypersurfaces in ℝ^4.
ER  -