Deletion-restriction for sheaf homology of graded atomic lattices

Brent Everitt, Paul Turner

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We give a long exact sequence for the homology of a graded atomic lattice equipped with a sheaf of modules, in terms of the deleted and restricted lattices. This is then used to compute the homology of the arrangement lattice of a hyperplane arrangement equipped with the natural sheaf. This generalises an old result of Lusztig.
Original languageEnglish
Article number108354
Number of pages24
JournalAdvances in Mathematics
Early online date25 Mar 2022
Publication statusPublished - 25 Jun 2022

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