2 papers
math.GT2023
Families of metrics with positive scalar curvature on spectral sequence cobordisms
Sherry Gong
We study families of metrics on the cobordisms that underlie the differential maps in Bloom's monopole Floer spectral sequence, a spectral sequence for links in whose i…
math.GT2023
On the rank of knot homology theories and concordance
Nathan M. Dunfield, Sherry Gong, Thomas Hockenhull +2
For a ribbon knot, it is a folk conjecture that the rank of its knot Floer homology must be 1 modulo 8, and another folk conjecture says the same about reduced Khovanov homology. W…