Higher Segal structures in algebraic $K$-theory

Thomas Poguntke

Higher Segal structures in algebraic $K$-theory

Algebraic Topology 2017-09-20 v1 Category Theory K-Theory and Homology

Authors: Thomas Poguntke

Abstract

We introduce higher dimensional analogues of simplicial constructions due to Segal and Waldhausen, respectively producing the direct sum and algebraic $K$ -theory spectra of an exact category. We then investigate their fibrancy properties, based on the formalism of higher Segal spaces by Dyckerhoff-Kapranov.

Keywords

algebraic k-theory

Cite

@article{arxiv.1709.06510,
  title  = {Higher Segal structures in algebraic $K$-theory},
  author = {Thomas Poguntke},
  journal= {arXiv preprint arXiv:1709.06510},
  year   = {2017}
}

Comments

25 pages

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