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math.GT2023
Lattice homology and Seiberg-Witten Floer spectra
Irving Dai, Hirofumi Sasahira, Matthew Stoffregen
Using lattice homology, we give an explicit combinatorial description of the Seiberg-Witten-Floer spectrum for an almost-rational plumbed homology sphere. Thi…
math.GT2022★ 1 cited
Rank-expanding satellites, Whitehead doubles, and Heegaard Floer homology
Irving Dai, Matthew Hedden, Abhishek Mallick +1
We show that a large class of satellite operators are rank-expanding; that is, they map some rank-one subgroup of the concordance group onto an infinite linearly independent set. O…
math.GT2018
Connected Heegaard Floer homology of sums of Seifert fibrations
Irving Dai
We compute the connected Heegaard Floer homology (defined by Hendricks, Hom, and Lidman) for a large class of 3-manifolds, including all linear combinations of Seifert fibered homo…