Log Hochschild Homology of Categorical Products and Coproducts

Abstract

As the front page implies, this is a thesis about log Hochschild homology. Our primary goal will be to understand how the log Hochschild homology groups acts on products and coproducts in the category of commutative pre-log algebras. We will prove that the log Hochschild homology commutes with products, and we shall formulate and prove a K¨unneth Theorem for log Hochschild homology. These results allows for the computation of the log Hochschild homology of complicated pre-log algebras that have been constructed from components we already understand by the process of taking products and coproducts.