Algebraic -theory for squares categories
J Campbell, J Kuijper, M Merling… - arXiv preprint arXiv …, 2023 - arxiv.org
In this paper we introduce a new formalism for $ K $-theory, called squares $ K $-theory.
This formalism allows us to simultaneously generalize the usual three-term relation …
This formalism allows us to simultaneously generalize the usual three-term relation …
Squares K-theory and 2-Segal spaces
ME Calle, M Sarazola - arXiv preprint arXiv:2409.16428, 2024 - arxiv.org
We define an $ S_\bullet $-construction for squares categories, and introduce a class of
squares categories we call" proto-Waldhausen" which capture the properties required for the …
squares categories we call" proto-Waldhausen" which capture the properties required for the …
[PDF][PDF] Higher Segal Spaces and their Applications to Algebraic K-Theory, Hall Algebras, and Combinatorics
J Bergner, J Kock, M Sarazola - 2024 - birs.ca
Segal spaces are used in homotopy theory, algebraic geometry, logic, and many other fields
of modern mathematics, and in particular play an important role in many approaches to …
of modern mathematics, and in particular play an important role in many approaches to …
[PDF][PDF] PROJECT DESCRIPTIONS FOR COLLABORATIVE WORKSHOP IN K-THEORY AND SCISSORS CONGRUENCE
I Klang, C Malkiewich - people.math.binghamton.edu
Scissors congruence K-theory is a form of algebraic K-theory that describes polytopes up to
cut-and-paste relations. Calculating the lowest K-group (K0) amounts to solving variants of …
cut-and-paste relations. Calculating the lowest K-group (K0) amounts to solving variants of …