Outputs (2)

Fiber quadrisecants in knot isotopies (2008)
Journal Article
Fiedler, T., & Kurlin, V. (2008). Fiber quadrisecants in knot isotopies. Journal of Knot Theory and Its Ramifications, 17(11), 1415-1428. https://doi.org/10.1142/s0218216508006695

Fix a straight line L in Euclidean 3-space and consider the fibration of the complement of L by half-planes. A generic knot K in the complement of L has neither fiber quadrisecants nor fiber extreme secants such that K touches the corresponding half-... Read More about Fiber quadrisecants in knot isotopies.

All 2–dimensional links in 4–space live inside a universal 3–dimensional polyhedron (2008)
Journal Article
Kearton, C., & Kurlin, V. (2008). All 2–dimensional links in 4–space live inside a universal 3–dimensional polyhedron. Algebraic & geometric topology, 8(3), 1223-1247. https://doi.org/10.2140/agt.2008.8.1223

The hexabasic book is the cone of the 1–dimensional skeleton of the union of two tetrahedra glued along a common face. The universal 3–dimensional polyhedron UP is the product of a segment and the hexabasic book. We show that any closed 2–dimensional... Read More about All 2–dimensional links in 4–space live inside a universal 3–dimensional polyhedron.