46 citations · 139 across the 21 of their papers we have counts for
24 papers
Quadratis Puzzles
Mario Gutiérrez, Hugo Parlier, Paul Turner
We introduce a family of reconfiguration puzzles arising from ideas in geometry and topology. We present their construction from square-tiled shapes, discuss some of the underlying…
Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers
Brent Everitt, Paul Turner
We compute the sheaf homology of the intersection lattice of a hyperplane arrangement with coefficients in the graded exterior sheaf of the natural sheaf. This builds on the result…
Deletion-restriction for sheaf homology of graded atomic lattices
Brent Everitt, Paul Turner
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 co…
Khovanov homology and diagonalisable Frobenius algebras
Paul Turner
We give a short elementary proof that a Khovanov-type link homology constructed from a diagonalisable Frobenius algebra is degenerate.
A hitchhiker's guide to Khovanov homology
Paul Turner
These notes from the 2014 summer school Quantum Topology at the CIRM in Luminy attempt to provide a rough guide to a selection of developments in Khovanov homology over the last fi…
Cellular cohomology of posets with local coefficients
Brent Everitt, Paul Turner
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, described explicitly a…