4 papers
Lecture notes on Heegaard Floer homology
C. -M. Michael Wong, Sarah Zampa
These are the notes for a lecture series on Heegaard Floer homology, given by the first author at the Rényi Institute in January 2023, as part of a special semester titled ``Singul…
Using knot Floer invariants to detect prime knots
Samantha Allen, Charles Livingston, Misha Temkin +1
We present knot primality tests that are built from knot Floer homology. The most basic of these is a simply stated and elementary consequence of Heegaard Floer theory: if the two-…
Lagrangian Zigzag Cobordisms
Joshua M. Sabloff, David Shea Vela-Vick, C. -M. Michael Wong +1
We investigate an equivalence relation on Legendrian knots in the standard contact three-space defined by the existence of an interpolating zigzag of Lagrangian cobordisms. We comp…
Spectral GRID invariants and Lagrangian cobordisms
Mitchell Jubeir, Ina Petkova, Noah Schwartz +2
We prove that the filtered GRID invariants of Legendrian links in link Floer homology, and consequently their associated invariants in the spectral sequence, obstruct decomposable…