Common positive stabilisation of open book decompositions

Joan Licata; Vera Vértesi

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arXiv · 2512.17402

Common positive stabilisation of open book decompositions

Joan Licata·Vera Vértesi

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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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Joan Licata, Vera Vértesi. 2025-12-19. Common positive stabilisation of open book decompositions. https://arxiv.org/abs/2512.17402

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