PreprintarXiv licencearXiv
Non-decomposable cobordisms via Lagrangian moves
Abstract
We establish the use of Lagrangian diagram moves to build Lagrangian cobordisms of Legendrian knots. We then apply the moves to explore how to invert decomposable cobordisms, after adding some stabilizations. This is done by use of Reidemeister moves and handle attachments in the Lagrangian projection. As an application, we show an explicit construction of a Lagrangian concordance from a stabilized m(946) Legendrian knot to a stabilized unknot, i.e. a non-decomposable Lagrangian concordance of nonempty knots.
Related
- TOPOLOGICAL TRIVIALITY OF EXACT LAGRANGIAN COBORDISMS
- h-cobordisms between $1$-connected manifolds with boundary
- H̃-cobordisms, infinite cyclic covers, and real Seiberg--Witten theory
- A solution to Haagerup's Problem on decomposable maps
- Grid triples, link cobordisms in CPbar and the computation of Heegaard-Floer TQFT
BibTeX
@misc{guadagni2026nondecomposable,
title = {{Non-decomposable cobordisms via Lagrangian moves}},
author = {Roberta Guadagni},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.35048},
eprint = {2609.35048},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.35048},
}
RIS
TY - UNPB
TI - Non-decomposable cobordisms via Lagrangian moves
AU - Roberta Guadagni
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.35048
UR - https://arxiv.org/abs/2609.35048
AB - We establish the use of Lagrangian diagram moves to build Lagrangian cobordisms of Legendrian knots. We then apply the moves to explore how to invert decomposable cobordisms, after adding some stabilizations. This is done by use of Reidemeister moves and handle attachments in the Lagrangian projection. As an application, we show an explicit construction of a Lagrangian concordance from a stabilized m(9_46) Legendrian knot to a stabilized unknot, i.e. a non-decomposable Lagrangian concordance of nonempty knots.
ER -