M. Merling

activity

20092026

most citedCategorical models for equivariant classifying spaces

13 citations · 28 across the 21 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.KT2023★ 3 cited

Algebraic $K$ -theory for squares categories

Jonathan Campbell, Josefien Kuijper, Mona Merling +1

In this paper we introduce a new formalism for $K$ -theory, called squares $K$ -theory. This formalism allows us to simultaneously generalize the usual three-term relation $[B] = [A]…

math.AT2023

On the functoriality of the space of equivariant smooth $h$ -cobordisms

Thomas Goodwillie, Kiyoshi Igusa, Cary Malkiewich +1

We construct an $(\infty, 1)$ -functor that takes each smooth $G$ -manifold with corners $M$ to the space of equivariant smooth $h$ -cobordisms $H_{Diff} (M)$ . We al…

math.KT2023

A trace map on higher scissors congruence groups

Anna Marie Bohmann, Teena Gerhardt, Cary Malkiewich +2

Cut-and-paste $K$ -theory has recently emerged as an important variant of higher algebraic $K$ -theory. However, many of the powerful tools used to study classical higher algebraic $…

Algebraic K-theory for squares categories

On the functoriality of the space of equivariant smooth h-cobordisms

A trace map on higher scissors congruence groups

Algebraic $K$ -theory for squares categories

On the functoriality of the space of equivariant smooth $h$ -cobordisms