3 papers
math.AT2026
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…
math.AT2025
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 th…
math.AT2024
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…