Julia Semikina

activity

20162026

most citedA K-theory spectrum for cobordism cut and paste groups

1 citations · 1 across the 5 of their papers we have counts for

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6 papers · 1 filter

math.AT2026

$L$ -classes of symmetric products: a homological formula

Julia Semikina, Don Zagier

If $M$ is a closed oriented manifold of even dimension, then its $n$ th symmetric product $M (n) = M^{n} / S_{n}$ is a rational homology manifold for any $n \geq 0$ and hence has a canonical…

math.AT2025

Parametrized scissors congruence $K$ -theory of manifolds and cobordism categories

Mona Merling, George Raptis, Julia Semikina

We introduce a parametrized version of scissors congruence $K$ -theory of manifolds with tangential structure, which includes a topologized version of the scissors congruence $K$ -th…

math.AT2025

Scissors congruence K-theory for equivariant manifolds

Mona Merling, Ming Ng, Julia Semikina +2

We introduce a scissors congruence $K$ -theory spectrum which lifts the equivariant scissors congruence groups for compact $G$ -manifolds with boundary, and we show that on $π_{0}$ thi…

math.AT2022★ 1 cited

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…

math.AT2020

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 $K$ -theory, and applying these tools…

math.AT2016

A solvable counterexample to the Hambleton-Taylor-Williams Conjecture