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PreprintCC BY-NC-ND 4.0arXiv

Disc-presheaves and normal invariants

  • Oliver H. Wang
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Abstract

In this note, we elaborate on a result of Krannich--Kupers--Mehzer on Disc-presheaves. We show that equivalences of $2$-truncated Disc-presheaves of manifolds yields homotopy equivalences with trivial normal invariant. As an application, we show that two closed, simply connected manifolds are homeomorphic if and only if their $2$-truncated Disc-presheaves are equivalent.

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Cite

BibTeXRIS
BibTeX
@misc{wang2026discpresheaves,
  title = {{Disc-presheaves and normal invariants}},
  author = {Oliver H. Wang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.26895},
  eprint = {2610.26895},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.26895},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Disc-presheaves and normal invariants
AU  - Oliver H. Wang
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.26895
UR  - https://arxiv.org/abs/2610.26895
AB  - In this note, we elaborate on a result of Krannich--Kupers--Mehzer on Disc-presheaves. We show that equivalences of $2$-truncated Disc-presheaves of manifolds yields homotopy equivalences with trivial normal invariant. As an application, we show that two closed, simply connected manifolds are homeomorphic if and only if their $2$-truncated Disc-presheaves are equivalent.
ER  -