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T. Lidman 10-31-2022

Title: Instantons and handle decompositions.
Abstract: We show that there are homology three-spheres for which any bounding definite four-manifold requires lots of handles. The proof uses instanton Floer homology to show that lots of representations on the boundary must extend over the four-manifold. This is joint work with Paolo Aceto, Ali Daemi, Jen Hom, and JungHwan Park.

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