A cofibrant model of Waldhausen K-theory

2026/07/12 by Kate Ponto, Inna Zakharevich · 1 voice
Mathematics · #math.KT #math.AT #math.CT

paper · pdf

Abstract

This paper gives some technical results about cofibrant symmetric spectra of simplicial sets, and uses them to produce a model of the K-theory of a Waldhausen category that lands in the subcategory of (projective) cofibrant spectra.

Citations

• A trace map on higher scissors congruence groups
• The category of Waldhausen categories as a closed multicategory
• A universal characterization of higher algebraic K-theory
• Derived Koszul Duality and Involutions in the Algebraic K-Theory of Spaces
• Symmetric spectra
• Algebraic K-theory of spaces

Discussions

• Kate Ponto, Inna Zakharevich: A cofibrant model of Waldhausen K-theory https://arxiv.org/abs/2607.10886 https://arxiv.org/pdf/2607.10886 https://arxiv.org/html/2607.10886 [bsky, 0 points, 0 comments]

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