20 citations · 105 across the 29 of their papers we have counts for
28 papers · 1 filter
On the fundamental group calculation associated to reverse-engineering an exotic CP ^2 #3 \overline{CP }^2 and CP ^2 #2 \overline{CP }^2
Paul Kirk
I provide a detailed exposition of the fundamental group calculations in the ``reverse engineering" construction of an exotic $\CP ^2\#3\overline{\CP }^2$ and of an exotic $\CP ^2\…
Examples of homology 3-spheres whose Chern-Simons function is not Morse-Bott
Hans U Boden, Christopher Herald, Paul Kirk
We construct two homology 3-spheres for which the (unperturbed) Chern-Simons function is not Morse-Bott. In one case, there is a degenerate isolated critical point. In the…
Tangles, relative character varieties, and holonomy perturbed traceless flat moduli spaces
Guillem Cazassus, Chris Herald, Paul Kirk
We prove that the restriction map from the subspace of regular points of the holonomy perturbed SU(2) traceless flat moduli space of a tangle in a 3-manifold to the traceless flat…
The correspondence induced on the pillowcase by the earring tangle
Guillem Cazassus, Christopher M. Herald, Paul Kirk +1
The earring tangle consists of four strands 4pt x [0,1] inside S^2 x [0,1] and one meridian around one of the strands. Equipping this tangle with a nontrivial SO(3) bundle, we show…
The Fukaya category of the pillowcase, traceless character varieties, and Khovanov Cohomology
Matthew Hedden, Christopher M. Herald, Matthew Hogancamp +1
For a diagram of a 2-stranded tangle in the 3-ball we define a twisted complex of compact Lagrangians in the triangulated envelope of the Fukaya category of the smooth locus of the…
On the traceless SU(2) character variety of the 6-punctured 2-sphere
Paul Kirk
We exhibit the traceless character variety of a 6-punctured 2-sphere as a 2-fold branched cover of , branched over the singular Kummer surface, with the br…