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math.GT2026
Instantons, indefinite 4-manifolds, and Dehn surgery
Aliakbar Daemi, Xingpei Liu, Mike Miller Eismeier
We prove that there exist hyperbolic integer homology spheres with arbitrarily large Dehn surgery number. Previously, no integer homology sphere was known to have a surgery number…
math.GT2026
The topological and smooth Hausmann-Weinberger invariants disagree
Mike Miller Eismeier
For a finitely presented group, Hausmann and Weinberger defined to be the minimum Euler characteristic over all closed, oriented -manifolds with fundame…