$G_{n}^{3}$ group and graph-valued invariant

Abstract: In this talk we introduce a modification of the $G_{n}^{3}$ group and construct a map from the braid group to framed 6-valent graphs with leaves using this modified group. By extending this idea we construct a knot invariant valued in equivalence classes of graphs up to local moves by using the plat closure of braids.

mathematical physicsalgebraic topologycombinatoricsgeometric topologyrings and algebrasrepresentation theory

Audience: researchers in the topic

Knots, graphs and groups

Series comments: Zoom - Meeting ID: 818 6674 5751 Passcode: 141592

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

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