The \(E_{8}\)-boundings of homology spheres and negative sphere classes in \(E(1)\)

DOI10.1016/j.topol.2015.12.067zbMath1345.57036arXiv1408.5528OpenAlexW2278394815MaRDI QIDQ260553

Motoo Tange

Publication date: 21 March 2016

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

Full work available at URL: https://arxiv.org/abs/1408.5528

zbMATH Keywords

\(E_{8}\)-plumbingBrieskorn homology 3-spheredefinite spin 4-manifoldminimal genus surface

Mathematics Subject Classification ID

Surgery and handlebodies (57R65) Differentiable structures in differential topology (57R55)

Related Items

Homology spheres with E_8-fillings and arbitrarily large correction terms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Dolgachev surface. Disproving the Harer-Kas-Kirby conjecture.
• Homology cobordism and classical knot invariants
• \(\Gamma\)-splitting 4-manifolds
• Stein \(4\)-manifolds with boundary and contact structures
• Smooth minimal genera for small negative classes in \({\mathbb C}P^{2}{\#}n{\overline{{\mathbb C}P}^2}\) with \(n {\leqslant} 9\)
• An application of gauge theory to four dimensional topology
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• A characterization of the \(\mathbb Z^ n\) lattice
• On the Ozsváth-Szabó invariant of negative definite plumbed 3-manifolds
• On the intersection forms of spin four-manifolds with boundary
• The Fukumoto-Furuta and the Ozsváth-Szabó invariants for spherical 3-manifolds
• Diffeomorphisms of 4-Manifolds
• Monopole equation and the \(\frac{11}{8}\)-conjecture
• \(W\)-invariants and Neumann-Siebenmann invariants for Seifert homology 3-spheres