1 citations · 3 across the 7 of their papers we have counts for
9 papers
Exotic diffeomorphisms on closed aspherical -manifolds
Hokuto Konno, Jianfeng Lin, Anubhav Mukherjee +1
We study a class of diffeomorphisms of closed manifolds obtained from Davis' reflection trick construction, which are obtained by reflecting a diffeomorphism supported in the funda…
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…
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…
A monopole invariant for families of contact structures
Juan Muñoz-Echániz
We use monopole Floer homology to study the topology of the space of contact structures on a 3-manifold. Our main tool is a generalisation of the Kronheimer--Mrowka--Ozsváth--Szabó…