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Isotopies of surfaces in 4-manifolds Kim, Seungwon

Description

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 $S^4$ . We consider applications of this result to bridge trisections of surfaces in 4-manifolds and Gluck twist in $S^4$. This project is joint with Mark Hughes and Maggie Miller.

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