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Moscow-Beijing Topology seminar
30 июля 2025 г. 10:30, Online, Zoom


A survey on smooth unknotting of a surface-knot in the 4-space

Kawauchi Akio

Аннотация: It is explained how a smooth surface-knot in 4-space with infinite cyclic fundamental group is a trivial surface-knot (i.e., the boundary of a smoothly embedded handlebody) in the 4-space. It is also explained how a smooth surface-link in 4-space with meridian-based free fundamental group is a trivial surface-link (i.e., the boundary of smoothly embedded disjoint handlebodies) in the 4-space. For these proofs, the concept of an orthogonal 2-handle pair on a surface-link is introduced and the properties are explained, with the property of uniqueness being particularly essential.

Язык доклада: английский

Website: https://us02web.zoom.us/j/81866745751?pwd=bEFqUUlZM1hVV0tvN0xWdXRsV2pnQT09


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