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math.GT2026
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.GT2024
The -cable of the figure-eight knot is not smoothly slice
Irving Dai, Sungkyung Kang, Abhishek Mallick +2
We prove that the -cable of the figure-eight knot is not smoothly slice by showing that its branched double cover bounds no equivariant homology ball.
math.GT2024
Homology concordance and knot Floer homology
Irving Dai, Jennifer Hom, Matthew Stoffregen +1
We study the homology concordance group of knots in integer homology three-spheres which bound integer homology four-balls. Using knot Floer homology, we construct an infinite numb…