21 citations · 132 across the 31 of their papers we have counts for
34 papers
Link Floer homology, nonformality, and the Borromean rings
Kristen Hendricks, Matthew Stoffregen, Ian Zemke
Our main result is a computation of the full link Floer complex of the Borromean rings. The Borromean rings are well known to be an L-space link. We prove that the full link Floer…
Reidemeister and movie moves for involutive links
Maciej Borodzik, Irving Dai, Abhishek Mallick +1
An involutive link is a link which is invariant under the standard rotation by 180 degrees in . We establish an equivariant analogue of the work of Carter and Saito aimed at s…
Khovanov homology and equivariant surfaces
Maciej Borodzik, Irving Dai, Abhishek Mallick +1
We introduce a refinement of Bar-Natan homology for involutive links, extending the work of Lobb-Watson and Sano. We construct a new suite of numerical invariants and derive bounds…
The link surgery formula and equivariant surgeries
Kristen Hendricks, Abhishek Mallick, Matthew Stoffregen +1
We prove an equivariant version of the Heegaard Floer link surgery formula. As a special case, this gives an equivariant knot surgery formula for equivariant knots in . Our pr…
A note on the involutive invariants of splices
Kristen Hendricks, Matthew Stoffregen, Ian Zemke
A natural family of potentially 2-torsion elements in the integer homology cobordism group consists of splices of knots with their mirrors. We show that such 3-manifolds have local…
Jones-Wenzl projectors and the Khovanov homotopy of the infinite twist
Matthew Stoffregen, Michael Willis
We construct and study a lift of Jones-Wenzl projectors to the setting of Khovanov spectra, and provide a realization of such lifted projectors via a Cooper-Krushkal-like sequence…
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…
PL-genus of surfaces in homology balls
Jennifer Hom, Matthew Stoffregen, Hugo Zhou
We consider manifold-knot pairs where is a homology sphere that bounds a homology ball. We show that the minimum genus of a PL surface in a homology ball such t…
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.
An involutive dual knot surgery formula
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We prove an involutive analog of the dual knot surgery formula of Eftekhary and Hedden-Levine. We also compute a small model for the local equivalence class of the involutive dual…
Naturality and functoriality in involutive Heegaard Floer homology
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We prove first-order naturality of involutive Heegaard Floer homology, and furthermore construct well-defined maps on involutive Heegaard Floer homology associated to cobordisms be…
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…
A note on PL-disks and rationally slice knots
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We give infinitely many examples of manifold-knot pairs (Y, J) such that Y bounds an integer homology ball, J does not bound a non-locally-flat PL-disk in any integer homology ball…
Seiberg-Witten Floer spectra for
Hirofumi Sasahira, Matthew Stoffregen
We construct a generalization of the Seiberg-Witten Floer spectrum for suitable three-manifolds with . For a cobordism between three-manifolds we define Bauer-Furuta…
On the quotient of the homology cobordism group by Seifert spaces
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We prove that the quotient of the integer homology cobordism group by the subgroup generated by the Seifert fibered spaces is infinitely generated.
Linear independence of rationally slice knots
Jennifer Hom, Sungkyung Kang, JungHwan Park +1
A knot in is rationally slice if it bounds a disk in a rational homology ball. We give an infinite family of rationally slice knots that are linearly independent in the knot…
Surgery exact triangles in involutive Heegaard Floer homology
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We establish a surgery exact triangle for involutive Heegaard Floer homology by using a doubling model of the involution. We use this exact triangle to give an involutive version o…
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…
Localization in Khovanov homology
Matthew Stoffregen, Melissa Zhang
We construct equivariant Khovanov spectra for periodic links, using the Burnside functor construction introduced by Lawson, Lipshitz, and Sarkar. By identifying the fixed-point set…
An odd Khovanov homotopy type
Sucharit Sarkar, Christopher Scaduto, Matthew Stoffregen
For each link L in S^3 and every quantum grading j, we construct a stable homotopy type X^j_o(L) whose cohomology recovers Ozsvath-Rasmussen-Szabo's odd Khovanov homology, H_i(X^j_…
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…