Higher Lie and Leibniz algebras

Abstract

Higher structures - infinity algebras and other objects up to homotopy, categorified algebras, `oidified' concepts, operads, higher categories, higher Lie theory, higher gauge theory... - are currently intensively investigated in Mathematics and Physics. The present thesis deals with abstractions and flexibilizations of algebraic structures, and more precisely, with algebraic operads, homotopification and categorification.

143 pages, thesis, 2013, University of Luxembourg

References in corpus (2)

• Erratum to: "A Proof of Tsygan's Formality Conjecture for an Arbitrary Smooth Manifold"
• Algebraic models of non-connected spaces and homotopy theory of $L_{\infty }$ algebras