4 papers
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…
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…