By the same authors

Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers

Research output: Working paper

Standard

Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers. / Everitt, Brent Jason; Turner, Paul.

2019. (arXiv).

Research output: Working paper

Harvard

Everitt, BJ & Turner, P 2019 'Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers' arXiv.

APA

Everitt, B. J., & Turner, P. (2019). Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers. (arXiv).

Vancouver

Everitt BJ, Turner P. Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers. 2019 Aug 13. (arXiv).

Author

Everitt, Brent Jason ; Turner, Paul. / Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers. 2019. (arXiv).

Bibtex - Download

@techreport{cb7a9a7583a3499aad345aaa9e44781c,
title = "Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers",
abstract = "We compute the sheaf homology of the intersection lattice of a hyperplanearrangement with coefficients in the graded exterior sheaf of the naturalsheaf. This builds on the results of our previous paper, where this homologywas computed for the natural sheaf, itself a generalisation of an old result ofLusztig. The computational machinery we develop in this paper is quitedifferent though: sheaf homology is lifted to what we call Boolean covers,where we instead compute homology cellularly. A number of tools are given forthe cellular homology of these Boolean covers, including a deletion-restrictionlong exact sequence.",
author = "Everitt, {Brent Jason} and Paul Turner",
year = "2019",
month = "8",
day = "13",
language = "English",
series = "arXiv",
type = "WorkingPaper",

}

RIS (suitable for import to EndNote) - Download

TY - UNPB

T1 - Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers

AU - Everitt, Brent Jason

AU - Turner, Paul

PY - 2019/8/13

Y1 - 2019/8/13

N2 - We compute the sheaf homology of the intersection lattice of a hyperplanearrangement with coefficients in the graded exterior sheaf of the naturalsheaf. This builds on the results of our previous paper, where this homologywas computed for the natural sheaf, itself a generalisation of an old result ofLusztig. The computational machinery we develop in this paper is quitedifferent though: sheaf homology is lifted to what we call Boolean covers,where we instead compute homology cellularly. A number of tools are given forthe cellular homology of these Boolean covers, including a deletion-restrictionlong exact sequence.

AB - We compute the sheaf homology of the intersection lattice of a hyperplanearrangement with coefficients in the graded exterior sheaf of the naturalsheaf. This builds on the results of our previous paper, where this homologywas computed for the natural sheaf, itself a generalisation of an old result ofLusztig. The computational machinery we develop in this paper is quitedifferent though: sheaf homology is lifted to what we call Boolean covers,where we instead compute homology cellularly. A number of tools are given forthe cellular homology of these Boolean covers, including a deletion-restrictionlong exact sequence.

M3 - Working paper

T3 - arXiv

BT - Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers

ER -