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Infinite homotopy stable class for 4-manifolds with boundary

Infinite homotopy stable class for 4-manifolds with boundary

We show that for every odd prime q, there exists an infinite family {M i } ∞ i=1 of topological 4-manifolds that are all stably homeomorphic to one another, all the manifolds M i have isometric rank one equivariant intersection pairings and boundary L(2q, 1)#(S 1 × S 2 ), …