9 papers
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…
Koszul duality and the link surgery formula
Ian Zemke
In previous works, the author described an associative algebra whose -module categories encode the Heegaard Floer Dehn surgery formulas. In this article, we describe the…
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…
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…
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…
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…