3 citations · 11 across the 14 of their papers we have counts for
14 papers
On the classifying space of a Morse flow category
Maxine E. Calle, Fangji Liu
We show that the classifying space of the flow category of a \emph{tame} Morse function on a smooth, closed manifold recovers the homotopy type of , thereby addressing a cla…
A comparison of definitions of equivariant trees
Julia E. Bergner, Maxine E. Calle, David Chan +2
We show that various categories of trees can be modeled by Grothendieck constructions on categories of trees with a fixed set of leaves. We prove this result for the dendroidal cat…
A genuine -spectrum for the cut-and-paste -theory of -manifolds
Maxine Calle, David Chan
Recent work has applied scissors congruence -theory to study classical cut-and-paste () invariants of manifolds. This paper proves the conjecture that the squares -theory…
Segal K-theory factors through Waldhausen categories
Maxine E. Calle, David Chan
We show that Segal's K-theory of symmetric monoidal categorizes can be factored through Waldhausen categories. In particular, given a symmetric monoidal category , we produce a…
The spectrum of the Burnside Tambara functor
Maxine Elena Calle, David Chan, David Mehrle +3
We compute the spectrum of prime ideals in the Burnside Tambara functor over an arbitrary finite group. Our proof uses recent advances in the commutative algebra of Tambara functor…
Squares K-theory and 2-Segal spaces
Maxine E. Calle, Maru Sarazola
We define an -construction for squares categories, and introduce a class of squares categories we call "proto-Waldhausen" which capture the properties required for the $…
Nested cobordisms, Cyl-objects and Temperley-Lieb algebras
Maxine E. Calle, Renee S. Hoekzema, Laura Murray +3
We introduce a discrete cobordism category for nested manifolds and nested cobordisms between them. A variation of stratified Morse theory applies in this case, and yields generato…
A combinatorial -theory perspective on the Edge Reconstruction Conjecture in graph theory
Maxine E. Calle, Julian J. Gould
We provide a framework for abstract reconstruction problems using the -theory of categories with covering families, which we then apply to reformulate the edge reconstruction co…
Equivariant algebraic -theory of symmetric monoidal Mackey functors
Maxine Calle, David Chan, Maximilien Péroux
We provide a unifying approach to different constructions of the algebraic -theory of equivariant symmetric monoidal categories. A consequence of our work is that every connecti…
A linearization map for genuine equivariant algebraic -theory
Maxine Calle, David Chan, Andres Mejia
We introduce a version of algebraic -theory for coefficient systems of rings which is valued in genuine -spectra for a finite group . We use this construction to build a g…
Equivariant Trees and Partition Complexes
Julia E. Bergner, Peter Bonventre, Maxine E. Calle +2
We introduce two definitions of -equivariant partitions of a finite -set, both of which yield -equivariant partition complexes. By considering suitable notions of equivari…
The Spectrum of the Burnside Tambara Functor of a Cyclic Group
Maxine Calle, Sam Ginnett
We derive a family of prime ideals of the Burnside Tambara functor for a finite group . In the case of cyclic groups, this family comprises the entire prime spectrum. We include…
The Tambara Structure of the Trace Ideal for Cyclic Extensions
Maxine Calle, Sam Ginnett, Harry Chen +1
This paper explores the Tambara functor structure of the trace ideal of a Galois extension. In the case of a (pro-)cyclic extension, we are able to explicitly determine the generat…
Sharp sectional curvature bounds and a new proof of The Spectral Theorem
Maxine Calle, Corey Dunn
We algebraically compute all possible sectional curvature values for canonical algebraic curvature tensors, and use this result to give a method for constructing general sectional…