8 papers
Constraints on Lefschetz fibrations with four-dimensional fibers from Seiberg-Witten theory
Hokuto Konno, Jianfeng Lin, Anubhav Mukherjee +1
We establish constraints on the topology of smooth Lefschetz fibrations with -dimensional fibers, by studying the family Bauer-Furuta invariant. To compute this invariant, we an…
A Morse complex for the homology of vanishing cycles
Aleksander Doan, Juan Muñoz-Echániz
We construct Morse homology groups associated with any regular function on a smooth complex algebraic variety, allowing singular and non-compact critical loci. These groups are gen…
Configurations of Lagrangian spheres in surfaces
Juan Muñoz-Echániz
We study Dehn--Seidel twists on configurations of Lagrangian spheres in symplectic surfaces, using tools from Seiberg--Witten theory. In the case of configurations of La…
Counting connections on Seifert-fibered spaces
Juan Muñoz-Echániz
We study the character variety of a Seifert-fibered homology -sphere from the point of view of gauge theory. Namely, we introduce a class of perturbations of…
Exotic Dehn twists on sums of two contact 3-manifolds
Eduardo Fernández, Juan Muñoz-Echániz
We exhibit the first examples of exotic contactomorphisms with infinite order as elements of the contact mapping class group. These are given by certain Dehn twists on the separati…
The monodromy diffeomorphism of weighted singularities and Seiberg--Witten theory
Hokuto Konno, Jianfeng Lin, Anubhav Mukherjee +1
We prove that the monodromy diffeomorphism of a complex 2-dimensional isolated hypersurface singularity of weighted-homogeneous type has infinite order in the smooth mapping class…