1 citations · 1 across the 4 of their papers we have counts for
6 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…
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…
On four-dimensional Dehn twists and Milnor fibrations
Hokuto Konno, Jianfeng Lin, Anubhav Mukherjee +1
We study the monodromy diffeomorphism of Milnor fibrations of isolated complex surface singularities, by computing the family Seiberg--Witten invariant of Seifert-fibered Dehn twis…