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. <https://arxiv.org/abs/1908.04500>

APA

Everitt, B. J., & Turner, P. (2019). Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers. (arXiv). https://arxiv.org/abs/1908.04500

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 = aug,
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 -