14 citations · 57 across the 21 of their papers we have counts for
4 papers · 2 filters
Monopole Floer homology and SOLV geometry
Francesco Lin
We study the monopole Floer homology of a SOLV rational homology sphere Y from the point of view of spectral theory. Applying ideas of Fourier analysis on solvable groups, we show…
Hyperbolic four-manifolds with vanishing Seiberg-Witten invariants
Ian Agol, Francesco Lin
We show the existence of hyperbolic 4-manifolds with vanishing Seiberg-Witten invariants, addressing a conjecture of Claude LeBrun. This is achieved by showing, using results in ge…
The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds
Francesco Lin, Michael Lipnowski
We exhibit the first examples of hyperbolic three-manifolds for which the Seiberg-Witten equations do not admit any irreducible solution. Our approach relies on hyperbolic geometry…
Non-formality in -monopole Floer homology
Francesco Lin
In previous work, we introduced a natural -structure on the -monopole Floer chain complex of a closed, oriented three-manifold , and showe…