Abstract
We establish a structural understanding of the involutive Heegaard Floer homology for all linear combinations of almost-rational (AR) plumbed three-manifolds. We use this to show that the Neumann–Siebenmann invariant is a homology cobordism invariant for all linear combinations of AR plumbed homology spheres. As a corollary, we prove that if is a linear combination of AR plumbed homology spheres with , then is not torsion in the homology cobordism group. A general computation of the involutive Heegaard Floer correction terms for these spaces is also included.
Citation
Irving Dai. Matthew Stoffregen. "On homology cobordism and local equivalence between plumbed manifolds." Geom. Topol. 23 (2) 865 - 924, 2019. https://doi.org/10.2140/gt.2019.23.865
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