Unknotting nonorientable surfaces of genus 4 and 5

DOI10.1016/J.LAA.2024.08.014MaRDI QIDQ6618715

Mark Pencovitch

Publication date: 15 October 2024

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

4-manifoldsnonorientable surfacesmodified surgery obstruction

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Higher-dimensional knots and links (57K45) General topology of 4-manifolds (57K40)

Cites Work

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• Detecting the standard embedding of \({\mathbb{R}}P^ 2\) in \(S^ 4\)
• Surgery and duality
• Connecting lemmas and representing homology classes of simply connected 4-manifolds
• Proof of a conjecture of Whitney
• Stably diffeomorphic manifolds and l 2q+1(ℤ[π)]
• Splitting S 4 on RP 2 via the Branched Cover of CP 2 over S 4
• Automorphisms of Finite Abelian Groups

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