14 citations · 57 across the 21 of their papers we have counts for
22 papers
Symplectic four-manifolds and hyperbolic -orbifolds
Francesco Lin, Bruno Martelli
We construct closed symplectic 4-manifolds admitting the structure of hyperbolic -orbifold, addressing LeBrun's conjecture. Our simplest example has Euler characteristic ,…
Coexact -form spectral gaps of hyperbolic rational homology spheres
Francesco Lin, Michael Lipnowski
We discuss a construction of families of hyperbolic rational homology spheres with coexact -form spectral gap uniformly bounded below which is well-suited for explicit computati…
Homology cobordism and the geometry of hyperbolic three-manifolds
Francesco Lin
A major challenge in the study of the structure of the three-dimensional homology cobordism group is to understand the interaction between hyperbolic geometry and homology cobordis…
Lectures on families of Dirac operators and applications
Francesco Lin
These are the notes for a minicourse taught at the 2022 ICTP summer school `Frontiers in Geometry and Topology'. The goal is to introduce families of Dirac operators and how they c…
Monopole Floer homology and invariant theta characteristics
Francesco Lin
We describe a relationship between the monopole Floer homology of three-manifolds and the geometry of Riemann surfaces. Consider an automorphism of a compact Riemann surface $Σ…
Monopoles, twisted integral homology, and Hirsch algebras
Francesco Lin, Mike Miller Eismeier
We provide an explicit computation over the integers of the bar version of the monopole Floer homology of a three-manifold in terms of a new invariant associated…