2 citations · 2 across the 1 of their papers we have counts for
4 papers
Closed geodesics and Frøyshov invariants of hyperbolic three-manifolds
Francesco Lin, Michael Lipnowski
Froyshov invariants are numerical invariants of rational homology three-spheres derived from gradings in monopole Floer homology. In the past few years, they have been employed to…
Cohen-Lenstra heuristics and bilinear pairings in the presence of roots of unity
Michael Lipnowski, Will Sawin, Jacob Tsimerman
Let be a quadratic extension of global fields. We study Cohen-Lenstra heuristics for the -part of the relative class group when contai…
Monopole Floer homology, eigenform multiplicities and the Seifert-Weber dodecahedral space
Francesco Lin, Michael Lipnowski
We show that the Seifert-Weber dodecahedral space is an -space. The proof builds on our work relating Floer homology and spectral geometry of hyperbolic three-mani…
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…