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Invariants of contact structures from open books

1 Pith paper cite this work. Polarity classification is still indexing.

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abstract

In this note we define three invariants of contact structures in terms of open books supporting the contact structures. These invariants are the support genus (which is the minimal genus of a page of a supporting open book for the contact structure), the binding number (which is the minimal number of binding components of a supporting open book for the contact structure with minimal genus pages) and the norm (which is minus the maximal Euler characteristic of a page of a supporting open book).

fields

math.AT 1

years

2025 1

verdicts

REJECT 1

representative citing papers

Boundary framings for locally conformally symplectic four-manifolds

math.AT · 2025-02-09 · reject · novelty 5.0

The paper proposes a rational homotopy model for a classifying space of locally conformally symplectic four-manifolds and a cobordism category of three-manifolds with Omega^2 S^2-bundle framings, but the standalone text does not prove the construction.

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  • Boundary framings for locally conformally symplectic four-manifolds math.AT · 2025-02-09 · reject · none · ref 22 · internal anchor

    The paper proposes a rational homotopy model for a classifying space of locally conformally symplectic four-manifolds and a cobordism category of three-manifolds with Omega^2 S^2-bundle framings, but the standalone text does not prove the construction.