Cohomology of operad algebras and Deligne's conjecture
Abstract
We consider various classes of generalized operads and associated odd Lie algebras and study the algebraic structure present after choice of solution to the Maurer-Cartan equation. In particular we construct and study operads which act universally on such pairs. As a consequence we study universal operations on operadic cohomology theories and give generalizations of Deligne's conjecture in both the cyclic and non-cyclic cases.
Degree
Ph.D.
Advisors
Kaufmann, Purdue University.
Subject Area
Applied Mathematics|Mathematics
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