We construct a sequence of smooth concordance invariants defined using truncated Heegaard Floer homology. The invariants generalize the concordance invariants of Ozsváth and Szabó and of Hom and Wu. We exhibit an example in which the gap between two consecutive elements in the sequence can be arbitrarily large. We also prove that the sequence contains more concordance information than , , , and .
"Truncated Heegaard Floer homology and knot concordance invariants." Algebr. Geom. Topol. 19 (4) 1881 - 1901, 2019. https://doi.org/10.2140/agt.2019.19.1881