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Surfaces and Isotopies in 4-manifolds via banded unlink diagrams

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Surfaces and Isotopies in 4-manifolds via banded unlink diagrams
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Isotopies of surfaces in 4-manifolds
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17
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Abstract
In this talk, we consider surfaces embedded in 4-manifolds. We give a complete set of moves relating banded unlink diagrams of isotopic surfaces in an arbitrary 4-manifold. This extends work of Swenton and Kearton-Kurlin in S4 . We consider applications of this result to bridge trisections of surfaces in 4-manifolds and Gluck twist in S4. This project is joint with Mark Hughes and Maggie Miller.