The bounding genera and 𝑤-invariants

DOI10.1090/S0002-9939-08-09744-XzbMath1171.57030MaRDI QIDQ3623366

Yoshihiro Fukumoto

Publication date: 17 April 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Brieskorn homology 3-spherehomology 3-sphere\(V\)-manifoldboundary genus

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Applications of global analysis to structures on manifolds (57R57) General geometric structures on low-dimensional manifolds (57M50) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) (h)- and (s)-cobordism (57R80)

Related Items (3)

Positive scalar curvature and homology cobordism invariants ⋮ A survey of the homology cobordism group ⋮ On the intersection forms of spin four-manifolds with boundary

Cites Work

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• The Gauss-Bonnet theorem for \(V\)-manifolds
• Pseudofree orbifolds
• Mazur manifolds
• Some homology lens spaces which bound rational homology balls
• On the invariant for a certain type of involutions on homology 3-spheres and its application
• Fukumoto-Furuta invariants of plumbed homology 3-spheres.
• A Calculus for Plumbing Applied to the Topology of Complex Surface Singularities and Degenerating Complex Curves
• The index of elliptic operators over V-manifolds
• Homology 3-spheres bounding acyclic 4-manifolds
• On an invariant of plumped homology 3-spheres
• Plumbed homology 3-spheres bounding acyclic 4-manifolds
• Monopole equation and the \(\frac{11}{8}\)-conjecture
• \(W\)-invariants and Neumann-Siebenmann invariants for Seifert homology 3-spheres

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