Toral actions on 4-manifolds and their classifications
Transactions of the American Mathematical Society1993Vol. 335(1), pp. 105–130
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Abstract
The existence of a cross-section is proved for some nonorientable 4 4 -manifolds with a T 2 {T^2} -action. Two 4 4 -manifolds with a T 2 {T^2} -action, which have the same previously known invariants, are constructed. By using a new homotopy invariant, they are proved to be homotopy inequivalent. Finally a stable diffeomorphism theorem is proved.
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