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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.GT2014★ 6 cited
The pillowcase and traceless representations of knot groups II: a Lagrangian-Floer theory in the pillowcase
Matthew Hedden, Christopher M. Herald, Paul Kirk
We define an elementary relatively graded Lagrangian-Floer chain complex for restricted immersions of compact 1-manifolds into the pillowcase, and apply it to the int…