1 citations · 1 across the 4 of their papers we have counts for
5 papers
Parametrized scissors congruence -theory of manifolds and cobordism categories
Mona Merling, George Raptis, Julia Semikina
We introduce a parametrized version of scissors congruence -theory of manifolds with tangential structure, which includes a topologized version of the scissors congruence -th…
Scissors congruence K-theory for equivariant manifolds
Mona Merling, Ming Ng, Julia Semikina +2
We introduce a scissors congruence -theory spectrum which lifts the equivariant scissors congruence groups for compact -manifolds with boundary, and we show that on thi…
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…
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…
A solvable counterexample to the Hambleton-Taylor-Williams Conjecture
Julia Semikina
I. Hambleton, L. Taylor and B. Williams conjectured a general formula in spirit of H. Lenstra for the decomposition of for any finite group and noetherian ring T…