Some properties of Pin\({}^\pm\)-structures on compact surfaces

DOI10.1016/j.topol.2023.108678zbMath1527.57012arXiv2112.07290OpenAlexW4386475881MaRDI QIDQ6057671

Luuk Stehouwer, Michael R. Klug

Publication date: 5 October 2023

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

Full work available at URL: https://arxiv.org/abs/2112.07290

zbMATH Keywords

quadratic formscobordismsurfacesArf invarianttangential structures

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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• Pin cobordism and related topics
• Finite groups and hyperbolic manifolds
• A calculation of \(Pin^ +\) bordism groups
• [https://portal.mardi4nfdi.de/wiki/Publication:3213902 Pin and Pin � Cobordism]
• Spin Structures and Quadratic forms on Surfaces
• Quadratic Forms and the Birman-Craggs Homomorphisms
• $Pin$-structures on surfaces and quadratic forms
• The Arf-Brown TQFT of pin⁻ surfaces
• Untersuchungen über quadratische Formen in Körpern der Charakteristik 2. (Teil I.).
• Lectures on the topology of 3-manifolds. An introduction to the Casson invariant

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