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arXiv · 2601.07714

A Note on Somewhere Positive Loops of Contactomorphisms

Igor Uljarević
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Abstract

In this note, we consider contractible loops of contactomorphisms that are positive over some non-empty closed subset of a contact manifold. Such closed subsets are called immaterial. We argue that the complement of a Reeb-invariant immaterial subset can be seen as big in contact geometric terms. This is supported by two results: one regarding symplectic homology of the filling and the other regarding recently introduced contact quasi-measures.

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Igor Uljarević. 2026-01-12. A Note on Somewhere Positive Loops of Contactomorphisms. https://doi.org/10.3842/sigma.2026.051

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