6 papers
Recognizing CGW categories among pointed stable double Segal spaces
Julia E. Bergner, Brandon T. Shapiro, Inna Zakharevich
In this paper, we establish a precise relationship between CGW categories and pointed stable double Segal spaces, both of which were developed as general input for algebraic K-theo…
A cofibrant model of Waldhausen K-theory
Kate Ponto, Inna Zakharevich
This paper gives some technical results about cofibrant symmetric spectra of simplicial sets, and uses them to produce a model of the -theory of a Waldhausen category that lands…
A combinatorial construction of homology via ACGW categories
Maru Sarazola, Brandon Shapiro, Inna Zakharevich
2-Segal spaces arise not only from $S_\dotp$-constructions associated to Waldhausen and (proto) exact categories, but also from $S_\dotp$-constructions associated to certain double…
A prop structure on partitions
Coline Emprin, Dana Hunter, Muriel Livernet +2
Motivated by its link with functor homology, we study the prop freely generated by the operadic suspension of the operad Com. We exhibit a particular family of generators, for whic…
Flat origami is Turing Complete
Thomas C. Hull, Inna Zakharevich
"Flat origami" refers to the folding of flat, zero-curvature paper such that the finished object lies in a plane. Mathematically, flat origami consists of a continuous, piecewise i…
Compactly supported -Euler characteristic and the Hochschild complex
Niny Arcila-Maya, Candace Bethea, Morgan Opie +2
We show the -Euler characteristic of a smooth, projective scheme over a characteristic field is represented by its Hochschild complex together with a canonical…