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Surface embeddings in R^3 through the lens of the crease set


Speaker: Margaret Nichols, Fields Institute
Location: Zoom
Start time: Tue, Nov 9 2021, 4:10PM

The crease set of a surface embedded in R^3 captures where the surface folds under a choice of projection to R^2. In forthcoming work with W. Menasco, we develop tools to characterize the crease set of an embedded sphere and its behavior under isotopy of the embedding. In this talk, we introduce some of these tools, explore a few examples, and discuss potential applications.