@inproceedings{Auckly2000FamiliesOF, title={Families of Four Dimensional Manifolds That Become Mutually Diffeomorphic after One Stabilization}, author={David Auckly}, year={2000} }

- Published 2000

It is well known that two homotopy equivalent, simply connected 4-manifolds become diffeomorphic after taking the connected sum with enough copies of S 2 ×S 2 [20]. The same result is true with S 2 ×S 2 replaced by S 2 × S 2 , and similar results are known for special families of 4-manifolds when S 2 ×S 2 is replaced by other manifolds. Taking the connected sum with one of these specific manifolds is called stabilization. For this paper, we will only consider connected sums with S 2 ×S 2 , and… CONTINUE READING