The pillowcase and traceless representations of knot groups II: a Lagrangian–Floer theory in the pillowcase

We define an elementary relatively ℤ/4 Z / 4 graded Lagrangian–Floer chain complex for restricted immersions of compact 1 1 -manifolds into the pillowcase, and apply it to the intersection diagram obtained by taking traceless SU(2) S U ( 2 ) character varieties of 2 2 -tangle decompositions of knots. Calculations for torus knots are explained in terms of pictures in the punctured plane. The relation to the reduced instanton homology of knots is explored.


Publication Date:
Jan 10 2019
Date Submitted:
Jun 28 2019
Pagination:
721-815
Citation:
Journal of Symplectic Geometry
16
3
External Resources:




 Record created 2019-06-28, last modified 2019-08-05


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