7 citations · 7 across the 4 of their papers we have counts for
6 papers
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 eta-invariant, Maslov index, and spectral flow for Dirac-type operators on manifolds with boundary
Paul Kirk, Matthias Lesch
Several proofs have been published of the Mod Z gluing formula for the eta-invariant of a Dirac operator. However, so far the integer contribution to the gluing formula for the eta…
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…