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dc.contributor.authorSmith, Ivan
dc.contributor.authorMak, Cheuk
dc.date.accessioned2020-03-05T00:30:39Z
dc.date.available2020-03-05T00:30:39Z
dc.identifier.issn1435-9855
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/303049
dc.description.abstractWe realise Stroppel’s extended arc algebra in the Fukaya-Seidel category of a natural Lefschetz fibration on the generic fiber of the adjoint quotient map on a type A nilpotent slice with two Jordan blocks, and hence obtain a symplectic interpretation of certain parabolic two-block versions of Bernstein-Gelfan’d-Gelfan’d category O. As an application, we give a new geometric construction of the spectral sequence from annular to ordinary Khovanov homology. The heart of the paper is the development of a cylindrical model to compute Fukaya categories of (affine open subsets of) Hilbert schemes of quasi-projective surfaces, which may be of independent interest.
dc.publisherEuropean Mathematical Society Publishing House
dc.rightsAll rights reserved
dc.titleFukaya-Seidel categories of Hilbert schemes and parabolic category O
dc.typeArticle
prism.publicationNameJournal of the European Mathematical Society
dc.identifier.doi10.17863/CAM.50125
dcterms.dateAccepted2020-03-01
rioxxterms.versionAM
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2020-03-01
rioxxterms.typeJournal Article/Review
pubs.funder-project-idEngineering and Physical Sciences Research Council (EP/N01815X/1)
cam.orpheus.counter90
rioxxterms.freetoread.startdate2023-03-04


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