Isotopy of surfaces in 4-manifolds after a single stabilization

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

doi:10.1016/j.aim.2018.10.040

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Isotopy of surfaces in 4-manifolds after a single stabilization

Journal article

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Isotopy of surfaces in 4-manifolds after a single stabilization

Dave Auckly, Hee Jung Kim, Paul Melvin, Daniel Ruberman and Hannah Schwartz

Advances in mathematics (New York. 1965), Vol.341, pp.609-615

01/07/2019

DOI: https://doi.org/10.1016/j.aim.2018.10.040

Abstract

Isotopy

Stabilization

Surfaces in 4-manifolds

Any two homologous closed oriented surfaces of the same genus embedded in a smooth 4-manifold X with simply-connected complement are shown to be smoothly isotopic in X#S2×S2 if the surfaces are ordinary, and in X#S2×˜S2 if they are characteristic.

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Title: Isotopy of surfaces in 4-manifolds after a single stabilization
Creators: Dave Auckly - Department of Mathematics, Kansas State University, Manhattan, KS 66506, United States of America
Hee Jung Kim - Western Washington University
Paul Melvin - Department of Mathematics, Bryn Mawr College, Bryn Mawr, PA 19010, United States of America
Daniel Ruberman - Brandeis University, Department of Mathematics
Hannah Schwartz - Department of Mathematics, Bryn Mawr College, Bryn Mawr, PA 19010, United States of America
Publication Details: Advances in mathematics (New York. 1965), Vol.341, pp.609-615
Publisher: Elsevier Inc
Grant note: 2015R1D1A1A01059318 / NRF (https://doi.org/10.13039/501100003725) 1506328 / NSF (https://doi.org/10.13039/100000001) AIM (https://doi.org/10.13039/100003582) BK21 PLUS SNU Mathematical Sciences Division 585139DA / Simons Foundation/SFARI
Identifiers: 9924086587601921
Academic Unit: Department of Mathematics
Language: English
Resource Type: Journal article

Isotopy of surfaces in 4-manifolds after a single stabilization

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