activity
20132023
most citedCalculating the homology and intersection form of a 4-manifold from a trisection diagram

19 citations · 40 across the 12 of their papers we have counts for

collaborators

12 papers

math.GT2023

A group-theoretic framework for low-dimensional topology

Sarah Blackwell, Robion Kirby, Michael Klug +2

A correspondence, by way of Heegaard splittings, between closed oriented 3-manifolds and pairs of surjections from a surface group to a free group has been studied by Stallings, Ja…

math.GT2022

Concordance of spheres in 4-manifolds with an immersed dual sphere

Michael Klug, Maggie Miller

Let and be two homotopic, oriented 2-spheres embedded in an orientable 4-manifold . After discussing several operations for modifying an immersion of a 3-manifold in…

math.GT2022

Kernels of splitting homomorphisms

Michael R. Klug

Lei and Wu have given a description of the second homotopy group of a closed orientable 3-manifold in terms of the kernels of the epimorphisms from the fundamental group of a Heega…

math.GT2021

Some properties of -structures on compact surfaces

Michael R. Klug, Luuk Stehouwer

We show that two -structures on a surface differ by a diffeomorphism of the surface if and only if they are cobordant (for comparison, the analogous fact has al…

math.GT2021

Building Groups From Restricted Diagrams of Groups

Nic Brody, Michael R. Klug

We consider the problem of realizing a group as the fundamental group of a graph of groups where the vertex groups are restricted to certain classes (for example, coming from a cer…

math.GR2021

Counting homomorphisms from surface groups to finite groups

Michael R. Klug

We prove a result that relates the number of homomorphisms from the fundamental group of a compact nonorientable surface to a finite group , where conjugacy classes of the bound…