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20222025
most citedCoarsely Holomorphic Curves and Symplectic Topology

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math.AT2022

Verifying the Hilali conjecture up to formal dimension twenty

Spencer Cattalani, Aleksandar Milivojević

We prove that in formal dimension the Hilali conjecture holds, i.e. that the total dimension of the rational homology bounds from above the total dimension of the rationa…

math.AT2022

Pseudocycles for Borel-Moore Homology

Spencer Cattalani, Aleksey Zinger

Pseudocycles are geometric representatives for integral homology classes on smooth manifolds that have proved useful in particular for defining gauge-theoretic invariants. The Bore…