Rectifiability of the Singular Strata for Harmonic Maps to DM-Complexes

@misc{stoner2026rectifiability,
  title = {{Rectifiability of the Singular Strata for Harmonic Maps to DM-Complexes}},
  author = {Ivy Stoner and Yitong Sun},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.00183},
  eprint = {2609.00183},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00183},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Rectifiability of the Singular Strata for Harmonic Maps to DM-Complexes
AU  - Ivy Stoner
AU  - Yitong Sun
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.00183
UR  - https://arxiv.org/abs/2609.00183
AB  - We prove a rectifiability theorem for harmonic maps into DM-complexes. More specifically, if u is a harmonic map from a n-dimensional Riemannian domain to an N-dimensional NPC DM-complex Y, the k-th singular stratum of the singular set is countably k-rectifiable for all k ∈ {0,...,n−2}. Our proof follows the framework in \cite{dm}. This extends the rectifiability result for the singular set of harmonic maps into a F-connected complex in \cite{dees} and generalizes the rectifiability theorem with respect the singular strata of harmonic maps into a F-connected complex in \cite{bd}.
ER  -