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

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dc.contributor.authorHedden, Matthew
dc.contributor.authorHerald, Christopher M.
dc.contributor.authorKirk, Paul A.
dc.date.accessioned2025-02-20T15:53:35Z
dc.date.available2025-02-20T15:53:35Z
dc.date.issued2019-01-10
dc.description.abstractWe 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.
dc.identifier.citationHedden, Matthew, et al. "The pillowcase and traceless representations of knot groups II: a Lagrangian–Floer theory in the pillowcase." Journal of Symplectic Geometry, vol. 16, no. 3, pp. 721-815, 2019-01-10, https://doi.org/10.4310/jsg.2018.v16.n3.a5.
dc.identifier.otherBRITE 2805
dc.identifier.urihttps://hdl.handle.net/2022/33305
dc.language.isoen
dc.relation.isversionofhttps://doi.org/10.4310/jsg.2018.v16.n3.a5
dc.relation.isversionofhttps://arxiv.org/pdf/1501.00028.pdf
dc.relation.journalJournal of Symplectic Geometry
dc.titleThe pillowcase and traceless representations of knot groups II: a Lagrangian–Floer theory in the pillowcase

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