21 citations · 72 across the 15 of their papers we have counts for
16 papers
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…
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…
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.
Equivariant knots and knot Floer homology
Irving Dai, Abhishek Mallick, Matthew Stoffregen
We define several equivariant concordance invariants using knot Floer homology. We show that our invariants provide a lower bound for the equivariant slice genus and use this to gi…
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…
Instanton Floer homology of almost-rational plumbings
Antonio Alfieri, John A. Baldwin, Irving Dai +1
We show that if is the boundary of an almost-rational plumbing, then the framed instanton Floer homology is isomorphic to the Heegaard Floer homology $\smash{…
Corks, involutions, and Heegaard Floer homology
Irving Dai, Matthew Hedden, Abhishek Mallick
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 invariant…
The 0-concordance monoid admits an infinite linearly independent set
Irving Dai, Maggie Miller
Under the relation of -concordance, the set of knotted 2-spheres in forms a commutative monoid with the operation of connected sum. Sunukjian has recently…
More concordance homomorphisms from knot Floer homology
Irving Dai, Jennifer Hom, Matthew Stoffregen +1
We define an infinite family of linearly independent, integer-valued smooth concordance homomorphisms. Our homomorphisms are explicitly computable and rely on local equivalence cla…
An infinite-rank summand of the homology cobordism group
Irving Dai, Jennifer Hom, Matthew Stoffregen +1
We show that the three-dimensional homology cobordism group admits an infinite-rank summand. It was previously known that the homology cobordism group contains a $\mathbb{Z}^\infty…
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…
On homology cobordism and local equivalence between plumbed manifolds
Irving Dai, Matthew Stoffregen
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 t…
Involutive Heegaard Floer homology and plumbed three-manifolds
Irving Dai, Ciprian Manolescu
We compute the involutive Heegaard Floer homology of the family of three-manifolds obtained by plumbings along almost-rational graphs. (This includes all Seifert fibered homology s…
On the Pin(2)-equivariant monopole Floer homology of plumbed 3-manifolds
Irving Dai
We compute the Pin(2)-equivariant monopole Floer homology for the class of plumbed 3-manifolds with at most one "bad" vertex (in the sense of Ozsvath and Szabo). We show that for t…
Properties of Full-Flag Johnson Graphs
Irving Dai, Michael Greenberg, Noah Schoem +1
We introduce and study a variant of the family of Johnson graphs, the Full-Flag Johnson graphs. We show that Full-Flag Johnson graphs are Cayley graphs on S_n generated by certain…
On Rationally Ergodic and Rationally Weakly Mixing Rank-One Transformations
Irving Dai, Xavier Garcia, Tudor Pădurariu +1
We study the notions of weak rational ergodicity and rational weak mixing as defined by Jon Aaronson. We prove that various families of infinite measure-preserving rank-one transfo…