Every link is shown to be presentable as a boundary of an unknotted flat banded surface. A (flat) banded link is defined as a boundary of an unknotted (flat) banded surface. A link's (flat) band index is defined as the minimum number of bands required to present the link as boundaries of an unknotted (flat) banded surf…
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4 results for “banded-links”
We will discuss a method for visual presentation of knotted surfaces in the four space, by examining a number and a position of its Morse's critical points. Using this method, we will investigate surface-knot with one critical point of index 1. Then we show infinitely many mutually distinct surface-knots that has an em…
The abstract introduces a method to compute surface invariants in 4-manifolds.
problem Computing invariants of surfaces embedded in 4-manifolds.
method Using a nested pair of ribbon fusion categories and banded-link presentations.
result The method provides an invariant sensitive to both genus and knotting.
For a banded link in a surface times a circle, the Witten-Reshetikhin-Turaev invariants are topological invariants depending on a sequence of complex -th roots of unity . We show that there exists a polynomial such that these normalized invariants converge to when …