In this survey paper, we discuss several different knot concordance invariants coming from
the Heegaard Floer homology package of Ozsváth and Szabó. Along the way, we prove that …

Building on the algebraic framework developed by Hendricks, Manolescu, and Zemke, we
introduce and study a set of Floer-theoretic invariants aimed at detecting corks. Our …

Pin(2)-equivariant Seiberg–Witten Floer homology of Seifert fibrations Page 1 Pin(2)-equivariant
Seiberg–Witten Floer homology of Seifert fibrations Matthew Stoffregen Compositio Math …

In this paper we further develop the theory of equivariant Seiberg–Witten–Floer cohomology
of the two authors, with an emphasis on Brieskorn homology spheres. We obtain a number …

Using Taubes' periodic ends theorem, Auckly gave examples of toroidal and hyperbolic
irreducible integer homology spheres which are not surgery on a knot in the three-sphere …

We give inequalities for the Manolescu invariants α, β, γ under the connected sum operation.
We compute the Manolescu invariants of connected sums of some Seifert fiber spaces …

In this survey, we present the most recent highlights from the study of the homology
cobordism group, with particular emphasis on its long-standing and rich history in the …

Continuing our previous work in [23], we effectively compute connected Heegaard Floer
homologies of two families of Brieskorn spheres realized as the boundaries of almost simple …

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 …

We establish three rank inequalities for the reduced flavor of Heegaard Floer homology of
Seifert fibered integer homology spheres. Combining these inequalities with the known …