2 citations · 3 across the 6 of their papers we have counts for
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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…
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…