Title

Operads, polytopes, and the A-infinity-Deligne conjecture

Date of Completion

January 2007

Keywords

Mathematics

Degree

Ph.D.

Abstract

Deligne's Conjecture is a theorem of interest from algebraic topology, specifically operad theory. Since 2000, several solutions using various chain models have been put forth (for the associative algebra case). In this paper, we produce a solution to Deligne's Conjecture for the case of A-algebras that is minimal, constructive, and topological. ^