Categorical Homotopy I. Quivers
Algebraic Topology
2012-11-28 v2 Rings and Algebras
Representation Theory
Abstract
We quiver-interpret the classical simplicial theory - including the cosimplex category , Dold-Kan correspondence, and Hochschild homology - as a certain Q-homotopy theory of type . For the cyclic and cubical theories, we proceed analogously. Subsequently, we present far-reaching generalizations, using different types of quivers. Moreover, we explain how to construct certain categories as analogs of , and associate to each a Q-homotopy theory. We provide many examples, including such theories of type .
Cite
@article{arxiv.1211.5789,
title = {Categorical Homotopy I. Quivers},
author = {Jiarui Fei},
journal= {arXiv preprint arXiv:1211.5789},
year = {2012}
}
Comments
a typo in title corrected only