Stably irreducible non-orientable knotted surfaces

2025/04/03 by Tye Lidman, Lidman, Tye, Lisa Piccirillo +1 · 1 citation
Mathematics · Engineering · #Geometric and Algebraic Topology #Advanced Materials and Mechanics #Algebraic and Geometric Analysis

paper · pdf · doi:10.48550/arxiv.2504.03086

Abstract

We give an elementary obstruction to reducibility for knotted surfaces in the four-sphere. As a new application, we construct stably irreducible non-orientable surfaces.

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