# (Co)homology of Spectral Categories

Research paper by Jonathan A. Campbell

Indexed on: 23 Dec '15Published on: 23 Dec '15Published in: Mathematics - Algebraic Topology

#### Abstract

In this article we develop the cotangent complex and (co)homology theories for spectral categories. Along the way, we reproduce standard model structures on spectral categories. As applications, we show that the invariants to descend to stable $\infty$-categories and we prove a stabilization result for spectral categories.