Constructs closed aspherical 4-manifolds that are homeomorphic but not diffeomorphic, providing counterexamples to the smooth Borel conjecture in dimension 4.
Freedman and Frank Quinn
2 Pith papers cite this work. Polarity classification is still indexing.
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Establishes algebraic criteria for ambient homeomorphism and isotopy of genus-g surfaces in 4-manifolds with infinite cyclic knot group exteriors, plus a homeomorphism result for certain 4-manifolds with matching equivariant intersection forms.
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Exotic aspherical 4-manifolds
Constructs closed aspherical 4-manifolds that are homeomorphic but not diffeomorphic, providing counterexamples to the smooth Borel conjecture in dimension 4.
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Embedded surfaces with infinite cyclic knot group
Establishes algebraic criteria for ambient homeomorphism and isotopy of genus-g surfaces in 4-manifolds with infinite cyclic knot group exteriors, plus a homeomorphism result for certain 4-manifolds with matching equivariant intersection forms.