7 papers · 1 filter
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…
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…
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…
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…
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…
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…