3 papers
math.GT2026
A differential topology proof that the character variety of the genus two surface is homeomorphic to
Christopher M. Herald, Paul Kirk
We provide a proof that the character variety of a genus two surface, , is a closed compact manifold, and a proof of the Narasimhan-Ramanan theorem that is…
math.GT2024
An endomorphism on immersed curves in the pillowcase
Christopher M. Herald, Paul Kirk
We examine the holonomy-perturbed traceless SU(2) character variety of the trivial four-stranded tangle {p_1,p_2,p_3,p_4} X [0,1] in S^2 X [0,1] equipped with a strong marking, eit…
math.GT2018
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…