3 citations · 11 across the 14 of their papers we have counts for
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…
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…
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…
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…
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…