Kirby-Thompson Distance for Trisections of Knotted Surfaces

Resumen:

We adapt the work of Kirby-Thompson and Zupan to define an integer invariant L(T) of a bridge trisection T of a smooth surface K in S^4 or B^4 . We show that when L(T) = 0, then the surface K is unknotted. We also show that for a trisection T of an irreducible surface, the bridge number produces a lower bound for L(T). Consequently, L can be arbitrarily large. 

Meeting ID: 85412003697
Passcode: 173334 

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