Search Results - "Everitt, Brent"

Bundles of coloured posets and a Leray-Serre spectral sequence for Khovanov homology by EVERITT, BRENT, TURNER, PAUL

“…The decorated hypercube found in the construction of Khovanov homology for links is an example of a Boolean lattice equipped with a presheaf of modules. One…”
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The sympathetic sceptic’s guide to semigroup representations by Everitt, Brent

“…This is an elementary introduction to the representation theory of finite semigroups. We illustrate the Clifford–Munn correspondence between the…”
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Deletion-restriction for sheaf homology of graded atomic lattices by Everitt, Brent, Turner, Paul

“…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…”
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Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers by Everitt, Brent, Turner, Paul

“…We compute the sheaf homology of the intersection lattice of a hyperplane arrangement with coefficients in the graded exterior sheaf Λ ∙ F of the natural sheaf…”
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Cellular cohomology of posets with local coefficients by Everitt, Brent, Turner, Paul

“…We describe a “cellular” approach to the computation of the cohomology of a poset with coefficients in a presheaf. A cellular cochain complex is constructed,…”
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The homotopy theory of Khovanov homology by Everitt, Brent, Turner, Paul

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Partial mirror symmetry, lattice presentations and algebraic monoids by Everitt, Brent, Fountain, John

“…This is the second in a series of papers that develops the theory of reflection monoids, motivated by the theory of reflection groups. Reflection monoids were…”
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A (very short) introduction to buildings by Everitt, Brent

“…This is an informal elementary introduction to buildings—what they are and where they come from…”
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Partial symmetry, reflection monoids and Coxeter groups by Everitt, Brent, Fountain, John

“…This is the first of a series of papers in which we initiate and develop the theory of reflection monoids, motivated by the theory of reflection groups. The…”
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Homology of coloured posets: A generalisation of Khovanov's cube construction by Everitt, Brent, Turner, Paul

“…We define a homology theory for a certain class of posets equipped with a pre-sheaf of modules. We show that when restricted to Boolean lattices this homology…”
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Right-angled Coxeter polytopes, hyperbolic six-manifolds, and a problem of Siegel by Everitt, Brent, Ratcliffe, John G., Tschantz, Steven T.

“…By gluing together the sides of eight copies of an all-right angled hyperbolic six-dimensional polytope, two orientable hyperbolic six-manifolds with Euler…”
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The sympathetic sceptics guide to semigroup representations by Everitt, Brent

“…Expo. Math. 39(2) (2021), 197-237 This is an elementary introduction to the representation theory of finite semigroups. We illustrate the Clifford-Munn…”
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3-manifolds from Platonic solids by Everitt, Brent

“…The problem of classifying, up to isometry, the orientable spherical and hyperbolic 3-manifolds that arise by identifying the faces of a Platonic solid is…”
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Galois Theory - a first course by Everitt, Brent

“…These notes are a self-contained introduction to Galois theory, designed for the student who has done a first course in abstract algebra…”
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Weyl groups, lattices and geometric manifolds by Everitt, Brent, Howlett, Robert B.

“…By studying the action of the Weyl group of a simple Lie algebra on its root lattice, we construct torsion free subgroups of small and explicitly determined…”
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Deletion-restriction for sheaf homology of graded atomic lattices by Everitt, Brent, Turner, Paul

“…Adv. Math. 402 (2022), Paper No. 108354 We give a long exact sequence for the homology of a graded atomic lattice equipped with a sheaf of modules, in terms of…”
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Coxeter groups and hyperbolic manifolds by Everitt, Brent

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Alternating Quotients of Fuchsian Groups by Everitt, Brent

“…It is shown that any finitely generated, non-elementary Fuchsian group has among its homomorphic images all but finitely many of the alternating groups An…”
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Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers by Everitt, Brent, Turner, Paul

“…Math. Z. 302 (2022), 1451-1475 We compute the sheaf homology of the intersection lattice of a hyperplane arrangement with coefficients in the graded exterior…”
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Homology of matching complexes and representations of symmetric groups by Bate, Michael, Everitt, Brent, Ford, Sam, Ramos, Eric

“…We compute the homology of the matching complex $M(\Gamma)$, where $\Gamma$ is the complete hypergraph on $n\geq 2$ vertices, and analyse the…”
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