8 papers
Heegaard Floer knot trace invariants, exotic 4-manifolds, and symplectic obstructions
Jennifer Hom, Shunyu Wan
We show that the numerical invariants and coming from knot Floer homology are knot -trace invariants for any integer , resolving the remaining case in Hay…
Ribbon concordance and cabling
Jennifer Hom, JungHwan Park
We study ribbon concordances to cable knots. We formulate a conjecture predicting that any nontrivial knot admitting a ribbon concordance to a (p,q)-cable must itself be a (p,q)-ca…
Distinguishing exotic 's with Heegaard Floer homology
Sean Eli, Jennifer Hom, Tye Lidman
Attaching a Casson handle to a slice disk complement yields a smooth 4-manifold that is homeomorphic to . We show that if two slice knots have sufficiently different…
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…
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…