Deletion-restriction for sheaf homology of graded atomic lattices

TY - JOUR

T1 - Deletion-restriction for sheaf homology of graded atomic lattices

AU - Everitt, Brent

AU - Turner, Paul

N1 - © 2022 Elsevier Inc. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy.

PY - 2022/6/25

Y1 - 2022/6/25

N2 - 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.

AB - 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.

UR - https://arxiv.org/abs/1902.00399

U2 - 10.1016/j.aim.2022.108354

DO - 10.1016/j.aim.2022.108354

M3 - Article

SN - 0001-8708

VL - 402

JO - Advances in Mathematics

JF - Advances in Mathematics

M1 - 108354

ER -