M. Merling

most citedAlgebraic

K

-theory for squares categories

3 citations · 3 across the 4 of their papers we have counts for

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6 papers · 1 filter

math.AT2026

Topological symmetric and braid homologies

Gabriel Angelini-Knoll, David Chan, Teena Gerhardt +2

We identify topological symmetric homology as the free $E_{\infty}$ -algebra on an $E_{1}$ -algebra and topological braid homology as the free $E_{2}$ -algebra on…

math.AT2026

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.AT2026

Topological $I^ G$ homology of rings with twisted $G$ -action

Gabriel Angelini-Knoll, Mona Merling, Maximilien PÃ©roux

We construct topological $I^ G$ -homology for rings with twisted $G$ -action. Here a ring with twisted $G$ -action is a common generalization of a ring with anti-involution and a ring…

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 $I ¨ _{0}$ th…

math.AT2025

Equivariant infinite loop space theory, the space level story

We rework and generalize equivariant infinite loop space theory, which shows how to construct $G$ -spectra from $G$ -spaces with suitable structure. There is a classical version whic…

math.AT2025

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…

Topological symmetric and braid homologies

Parametrized scissors congruence K-theory of manifolds and cobordism categories

Topological I^G homology of rings with twisted G-action

Scissors congruence K-theory for equivariant manifolds

Equivariant infinite loop space theory, the space level story

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

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

Topological $I^ G$ homology of rings with twisted $G$ -action

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