Tom Braden

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math.AG2026

Intersection cohomology without spaces

Tom Braden, Nicholas Proudfoot

We survey three settings in which dimensions of intersection cohomology groups of algebraic varieties provide deep combinatorial and representation-theoretic information, and compu…

math.AG2024

Perverse sheaves on symmetric products of the plane

Tom Braden, Carl Mautner

For any field $k$ , we give an algebraic description of the category $Perv_{S} (S^{n} (C^{2}), k)$ of perverse sheaves on the $n$ -fold symmetric product of the p…