7 citations · 7 across the 4 of their papers we have counts for
5 papers · 1 filter
Symplectic 4-manifolds with arbitrary fundamental group near the Bogomolov-Miyaoka-Yau line
Scott Baldridge, Paul Kirk
In this paper we construct a family of symplectic 4--manifolds with positive signature for any given fundamental group that approaches the BMY line. The family is used to show…
On symplectic 4-manifolds with prescribed fundamental group
Scott Baldridge, Paul Kirk
In this article we study the problem of minimizing on the class of all symplectic 4--manifolds with prescribed fundamental group ( is the Euler characteristic, i…
The Hausmann-Weinberger 4-manifold invariant of abelian groups
Paul Kirk, Charles Livingston
The Hausmann-Weinberger invariant of a group G is the minimal Euler characteristic of a closed orientable 4-manifold M with fundamental group G. We compute this invariant for finit…
Calderon projector for the Hessian of the perturbed Chern-Simons function on a 3-manifold with boundary
Benjamin Himpel, Paul Kirk, Matthias Lesch
The existence and continuity for the Calderon projector of the perturbed odd signature operator on a 3-manifold is established. As an application we give a new proof of a result of…
The Gassner representation for string links
P. Kirk, C. Livingston, Z. Wang
The Gassner representation of the pure braid group to can be extended to give a representation of the concordance group of -strand string links to , wher…