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Abstract view

# Homotopy Self-Equivalences of 4-manifolds with Free Fundamental Group

We calculate the group of homotopy classes of homotopy self-equivalences of $4$-manifolds with free fundamental group and obtain a classification of such $4$-manifolds up to $s$-cobordism.
 MSC Classifications: 57N13 - Topology of $E^4$, $4$-manifolds [See also 14Jxx, 32Jxx] 55P10 - Homotopy equivalences 57R80 - $h$- and $s$-cobordism