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Homotopy classification of 4-manifolds whose fundamental group is dihedral

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 نشر من قبل John Nicholson
 تاريخ النشر 2020
  مجال البحث
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We show that the homotopy type of a finite oriented Poincar{e} 4-complex is determined by its quadratic 2-type provided its fundamental group is finite and has a dihedral Sylow 2-subgroup. By combining with results of Hambleton-Kreck and Bauer, this applies in the case of smooth oriented 4-manifolds whose fundamental group is a finite subgroup of SO(3). An important class of examples are elliptic surfaces with finite fundamental group.



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