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Creators/Authors contains: "Kim, Seungwon"

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  1. ; ; (, Algebraic & Geometric Topology)
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  2. ; ; (, Proceedings of the London Mathematical Society)
    Abstract We show that there exist split, orientable, 2‐component surface‐links in with non‐isotopic splitting spheres in their complements. In particular, for non‐negative integers with , the unlink consisting of one component of genus and one component of genus contains in its complement two smooth splitting spheres that are not topologically isotopic in . This contrasts with link theory in the classical dimension, as any two splitting spheres in the complement of a 2‐component split link are isotopic in . 
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  3. ; ; (, Journal of the European Mathematical Society)
    For every integerg\ge 2we construct 3-dimensional genus-g1-handlebodies smoothly embedded inS^{4}with the same boundary, and which are defined by the same cut systems of their boundary, yet which are not isotopic rel. boundary via any locally flat isotopy even when their interiors are pushed intoB^{5}. This proves a conjecture of Budney–Gabai for genus at least 2. 
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  4. ; ; ; ; (, Pacific Journal of Mathematics)
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  5. ; ; (, Journal on Multimodal User Interfaces)
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  6. ; ; ; ; (, Proceedings of Design, Automation and Test in Europe (DATE) Conference)
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