Braid monodromy of line arrangements and generalized lantern relations

Eriko Hironaka
Florida State University

The Zariski-Van Kampen theorem allows us to compute the fundamental
group of complements of complex planar line arrangements using braid monodromy.
In this talk we show how applying this technique to deformations of line arrangements
gives rise to a simple proof of the generalized lantern relations in mapping class
theory.


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