7 citations · 10 across the 8 of their papers we have counts for
9 papers
The Euler characteristic of manifolds
Renee S. Hoekzema, Luuk Stehouwer, Simona Veselá
We completely determine the possible parities of the Euler characteristic of closed -manifolds of a given dimension. As an application we partially calculate the control…
Nested tree space: a geometric framework for co-phylogeny
G. Grindstaff, R. S. Hoekzema
Nested (or reconciled) phylogenetic trees model co-evolutionary systems in which one evolutionary history is embedded within another. We introduce a geometric framework for such sy…
SKK groups of manifolds and non-unitary invertible TQFTs
Renee S. Hoekzema, Luuk Stehouwer, Simona Veselá
This work considers the computation of controllable cut-and-paste groups of manifolds with tangential structure . To this end, we apply the work o…
Nested cobordisms, Cyl-objects and Temperley-Lieb algebras
Maxine E. Calle, Renee S. Hoekzema, Laura Murray +3
We introduce a discrete cobordism category for nested manifolds and nested cobordisms between them. A variation of stratified Morse theory applies in this case, and yields generato…
A K-theory spectrum for cobordism cut and paste groups
Renee S. Hoekzema, Carmen Rovi, Julia Semikina
Cobordism groups and cut-and-paste groups of manifolds arise from imposing two different relations on the monoid of manifolds under disjoint union. By imposing both relations simul…
Multiscale methods for signal selection in single-cell data
Renee S. Hoekzema, Lewis Marsh, Otto Sumray +4
Analysis of single-cell transcriptomics often relies on clustering cells and then performing differential gene expression (DGE) to identify genes that vary between these clusters.…
Orientability of high-dimensional manifolds with odd Euler characteristic
Renee S. Hoekzema
We call a manifold -orientable if the Stiefel-Whitney class vanishes for all (), generalising the notions of orientable (1-orientable) and spin (2-ori…
Cut and paste invariants of manifolds via algebraic K-theory
Renee S. Hoekzema, Mona Merling, Laura Murray +2
Recent work of Jonathan Campbell and Inna Zakharevich has focused on building machinery for studying scissors congruence problems via algebraic -theory, and applying these tools…
Manifolds with odd Euler characteristic and higher orientability
Renee S. Hoekzema
It is well-known that odd-dimensional manifolds have Euler characteristic zero. Furthemore orientable manifolds have an even Euler characteristic unless the dimension is a multiple…