23 citations · 81 across the 17 of their papers we have counts for
17 papers
Global dimension of the category of rational incomplete Mackey functors for a finite abelian group G
David Barnes, Anna Marie Bohmann, Michael A. Hill +1
In this paper, we analyse the global dimension of the category of rational incomplete Mackey functors over a finite abelian group. Incomplete Mackey functors have recently risen to…
Equivariant Witt Complexes and Twisted Topological Hochschild Homology
Anna Marie Bohmann, Teena Gerhardt, Cameron Krulewski +2
The topological Hochschild homology of a ring (or ring spectrum) is an -spectrum, and the fixed points of THH() for subgroups have been widely studied…
A trace map on higher scissors congruence groups
Anna Marie Bohmann, Teena Gerhardt, Cary Malkiewich +2
Cut-and-paste -theory has recently emerged as an important variant of higher algebraic -theory. However, many of the powerful tools used to study classical higher algebraic $…
Generalizations of Loday's assembly maps for Lawvere's algebraic theories
Anna Marie Bohmann, Markus Szymik
Loday's assembly maps approximate the K-theory of group rings by the K-theory of the coefficient ring and the corresponding homology of the group. We present a generalization that…
Topological coHochschild Homology and the Homology of Free Loop Spaces
Anna Marie Bohmann, Teena Gerhardt, Brooke Shipley
We study the homology of free loop spaces via techniques arising from the theory of topological coHochschild homology (coTHH). Topological coHochschild homology is a topological an…
Genuine-commutative ring structure on rational equivariant -theory for finite abelian groups
Anna Marie Bohmann, Christy Hazel, Jocelyne Ishak +2
In this paper, we build on the work from our previous paper (arXiv:2002.01556) to show that periodic rational -equivariant topological -theory has a unique genuine-commutativ…
Boolean algebras, Morita invariance, and the algebraic K-theory of Lawvere theories
Anna Marie Bohmann, Markus Szymik
The algebraic K-theory of Lawvere theories is a conceptual device to elucidate the stable homology of the symmetry groups of algebraic structures such as the permutation groups and…
Naive-commutative structure on rational equivariant -theory for abelian groups
Anna Marie Bohmann, Christy Hazel, Jocelyne Ishak +2
In this paper, we calculate the image of the connective and periodic rational equivariant complex -theory spectrum in the algebraic model for naive-commutative ring -spectra…
A multiplicative comparison of Waldhausen and Segal K-theory
Anna Marie Bohmann, Angélica Osorno
In this paper, we establish a multiplicative equivalence between two multiplicative algebraic -theory constructions, Elmendorf and Mandell's version of Segal's -theory and Bl…
Computational Tools for Topological CoHochschild Homology
Anna Marie Bohmann, Teena Gerhardt, Amalie Høgenhaven +2
In recent work, Hess and Shipley defined a theory of topological coHochschild homology (coTHH) for coalgebras. In this paper we develop computational tools to study this new theory…
Graded Tambara Functors
Vigleik Angeltveit, Anna Marie Bohmann
We define the notion of an -graded Tambara functor and prove that any -spectrum with norm multiplication gives rise to such an -graded Tambara…
Constructing equivariant spectra via categorical Mackey functors
Anna Marie Bohmann, Angélica M. Osorno
We give a functorial construction of equivariant spectra from a generalized version of Mackey functors in categories. This construction relies on the recent description of the cate…
A model structure on GCat
Anna Marie Bohmann, Kristen Mazur, Angélica M. Osorno +3
We define a model structure on the category GCat of small categories with an action by a finite group G by lifting the Thomason model structure on Cat. We show there is a Quillen e…
Global orthogonal spectra
Anna Marie Bohmann
For any finite group G, there are several well-established definitions of a G-equivariant spectrum. In this paper, we develop the definition of a global orthogonal spectrum. Loosel…
A comparison of norm maps
Anna Marie Bohmann
We present a spectrum-level version of the norm map in equivariant homotopy theory based on the algebraic construction in work of Greenleess-May. We show that this new norm map is…
A Presheaf Interpretation of the Generalized Freyd Conjecture
Anna Marie Bohmann, J. P. May
We give a generalized version of the Freyd conjecture and a way to think about a possible proof. The essential point is to describe an elementary formal reduction of the question t…
The Equivariant Generating Hypothesis
Anna Marie Bohmann
We state the generating hypothesis in the homotopy category of G-spectra for a compact Lie group G, and prove that if G is finite, then the generating hypothesis implies the strong…