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Common positive stabilisation of open book decompositions

2025/12/19 by Joan E. Licata, Licata, Joan, Vera Vértesi +1
Mathematics · Computer Science · #Geometric and Algebraic Topology #Formal Methods in Verification #Homotopy and Cohomology in Algebraic Topology

paper · doi:10.48550/arxiv.2512.17402

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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