# Subleading asymptotics of link spectral invariants and homeomorphism groups of surfaces

@inproceedings{CristofaroGardiner2022SubleadingAO, title={Subleading asymptotics of link spectral invariants and homeomorphism groups of surfaces}, author={Daniel Cristofaro-Gardiner and Vincent Humili{\`e}re and Cheuk Yu Mak and Sobhan Seyfaddini and Ivan Smith}, year={2022} }

In previous work, we deﬁned “link spectral invariants” for any compact surface and used these to study the algebraic structure of the group of area-preserving homeomorphisms; in particular, we showed that the kernel of Fathi’s mass-ﬂow homomorphism is never simple. A key idea for this was a kind of Weyl law, showing that asymptotically the link spectral invariants recover the classical Calabi invariant. In the present work, we use the subleading asymptotics in this Weyl law to learn more about…

## 2 Citations

### Quantitative Heegaard Floer cohomology and the Calabi invariant

- MathematicsForum of Mathematics, Pi
- 2022

Abstract 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 invariant…

### On PFH and HF spectral invariants

- Mathematics
- 2022

In this note, we define the link spectral invariants by using the cylindrical formulation of the quantitative Heegaard Floer homology. We call them HF spectral invariants. We deduce a relation…

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Abstract 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 invariant…

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