Isotopy of surfaces in 4-manifolds after a single stabilization

Dave Auckly; Hee Jung Kim; Paul Melvin; Daniel Ruberman; Hannah Schwartz

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arXiv · 1708.03208

Isotopy of surfaces in 4-manifolds after a single stabilization

Dave Auckly·Hee Jung Kim·Paul Melvin·Daniel Ruberman·Hannah Schwartz

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Abstract

Any two homologous surfaces of the same genus embedded in a smooth 4-manifold X with simply-connected complements are shown to be smoothly isotopic in the connected sum of X and the product of a 2-sphere with itself, if the surfaces are ordinary, and in the connected sum of X with the non-trivial sphere bundle over the sphere if they are characteristic.

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BibTeX RIS

Dave Auckly, Hee Jung Kim, Paul Melvin, Daniel Ruberman, Hannah Schwartz. 2017-08-10. Isotopy of surfaces in 4-manifolds after a single stabilization. https://arxiv.org/abs/1708.03208

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