Common positive stabilisation of open book decompositions
Geometric Topology
2025-12-22 v1
Abstract
The Giroux Correspondence states that two open book decompositions supporting the same contact structure are related by a sequence of positive open book stabilisations and destabilisations. In this note we show that any two open book decompositions supporting isotopic contact structures admit a common positive stabilisation.
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Cite
@article{arxiv.2512.17402,
title = {Common positive stabilisation of open book decompositions},
author = {Joan Licata and Vera Vértesi},
journal= {arXiv preprint arXiv:2512.17402},
year = {2025}
}
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4 pages