= S. Kim (knot theory)
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<S. Kim (knot theory)> coauthored lectures on <fundamental groups> and <knot groups> with <V. O. Manturov>. The primary title page identifies the author only as S. Kim; a fuller personal identity is not inferred from those initials.<Lecture 3. Fundamental groups and knot groups by S. Kim and V. O. Manturov>[Title page, 19 May 2022]{ref}
The lectures explain the <van Kampen theorem> and derive diagrammatic group presentations. A <Dehn presentation of a knot group> assigns generators to regions and a relation at each crossing, converting topological gluing into algebra. This supplies a reusable route from knot diagrams to invariants of their complements.<Lecture 3. Fundamental groups and knot groups by S. Kim and V. O. Manturov>[Slides 12–21, especially the region/crossing figure]{ref}
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