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Mar
30
2026

Joint IAS/PU Arithmetic Geometry

A Classifying Space for the Handlebody Group
Dan Petersen
3:30pm|Princeton University, Fine Hall 224

We use Teichmüller theory to construct a new geometric model for the classifying space of the mapping class group of a three-dimensional handlebody. Two consequences are obtained: (i) Chan-Galatius-Payne have shown that the homology of Kontsevich's...