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math.SG2021★ 10 cited
Quantitative Heegaard Floer cohomology and the Calabi invariant
Daniel Cristofaro-Gardiner, Vincent Humilière, Cheuk Yu Mak +2
We define a new family of spectral invariants associated to certain Lagrangian links in compact and connected surfaces of any genus. We show that our invariants recover the Calabi…
math.SG2021
PFH spectral invariants on the two-sphere and the large scale geometry of Hofer's metric
Dan Cristofaro-Gardiner, Vincent Humilière, Sobhan Seyfaddini
We resolve three longstanding questions related to the large scale geometry of the group of Hamiltonian diffeomorphisms of the two-sphere, equipped with Hofer's metric. Namely: (1)…