PreprintarXiv licencearXiv
One internal stabilization is enough for resolving self-referential tubes
Abstract
This paper shows that one internal stabilization is enough to resolve all the self-referential tubes on an embedding. As an application, this paper gives a complete isotopy classification for embedded surfaces with a common geometric dual in orientable S2-bundle over a surface, provided that the embedded surfaces have greater genus than the base surface of the bundle.
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BibTeX
@misc{you2026internal,
title = {{One internal stabilization is enough for resolving self-referential tubes}},
author = {Qizheng You},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.29854},
eprint = {2609.29854},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.29854},
}
RIS
TY - UNPB
TI - One internal stabilization is enough for resolving self-referential tubes
AU - Qizheng You
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.29854
UR - https://arxiv.org/abs/2609.29854
AB - This paper shows that one internal stabilization is enough to resolve all the self-referential tubes on an embedding. As an application, this paper gives a complete isotopy classification for embedded surfaces with a common geometric dual in orientable S^2-bundle over a surface, provided that the embedded surfaces have greater genus than the base surface of the bundle.
ER -