Four-Manifolds With Surface Fundamental Groups

DOI10.1090/S0002-9947-97-01751-0zbMath0887.57026OpenAlexW1616735637MaRDI QIDQ4372586

Friedrich Hegenbarth, Dušan D. Repovš, Alberto Cavicchioli

Publication date: 16 December 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01751-0

zbMATH Keywords

homotopy typesurgeryfour-manifolds\(s\)-cobordismsurface fundamental groups

Mathematics Subject Classification ID

Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Algebraic topology of manifolds (57N65) Surgery obstructions, Wall groups (57R67)

Related Items (11)

Fundamental class, Poincaré duality and finite oriented \(\mathrm{FC}_4\)-complexes ⋮ \(PD_{4}\)-complexes with fundamental group a \(PD_{2}\)-group ⋮ On four-dimensional Poincaré duality cobordism groups ⋮ Applications of controlled surgery in dimension 4: examples ⋮ Four-dimensional complexes with fundamental class ⋮ Solving four-dimensional surgery problems using controlled theory ⋮ Connected sums of 4-manifolds ⋮ Manifolds with poly-surface fundamental groups ⋮ Homotopy self-equivalences of 4-manifolds with \(PD_2\) fundamental group ⋮ \(PD_4\)-complexes and 2-dimensional duality groups ⋮ Topology of four-manifolds with special homotopy groups

Cites Work

• On 4-manifolds with universal covering space \(S^ 2\times R^ 2\) or \(S^ 3\times R\)
• On the homotopy theory of simply connected four manifolds
• The topology of four-dimensional manifolds
• On 4-manifolds homotopy equivalent to surface bundles over surfaces
• Combinatorial homotopy and 4-dimensional complexes
• A certain exact sequence
• On Simply-Connected 4-Manifolds
• Whitehead torsion
• Diffeomorphism types of elliptic surfaces
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