English

Witt vectors and truncation posets

Commutative Algebra 2017-02-10 v2 Algebraic Geometry Algebraic Topology Category Theory Number Theory

Abstract

One way to define Witt vectors starts with a truncation poset SNS \subset \mathbb{N}. We generalize Witt vectors to truncation posets, and show how three types of maps of truncation posets can be used to encode the following six structure maps on Witt vectors: addition, multiplication, restriction, Frobenius, Verschiebung and norm.

Cite

@article{arxiv.1409.4156,
  title  = {Witt vectors and truncation posets},
  author = {Vigleik Angeltveit},
  journal= {arXiv preprint arXiv:1409.4156},
  year   = {2017}
}

Comments

To appear in Theory and Applications of Categories

R2 v1 2026-06-22T05:56:33.293Z