Answer to Question #39355 in Geometry for amal

Question

The singular set of a surface-knot diagram is a disjoint union of i) a graph, which has 1- and 6-valent vertices corresponding to branch points and triple points respectively. ii) circles which has no vertices. The graph and circles in a singular set may be linked in R^3. An edge of a singular set will be an edge of this graph or a circle. Around a triple point, there are six edges, such an edge is called b\m-, b\t- or m\t-edge if it is the intersection of bottom and middle, bottom and top or middle and top sheets at the triple point respectively.

My question is: what are the possible connections of edges for any surface diagram, i,e if we have two triple points, how to connect them?

Thank you in advance

Answer 1

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