Böcker av Martin Markl

The authors aim to outline the arguments from the perspective of homotopy algebras and their operadic origin.Part I reviews string field theory from the point of view of homotopy algebras, including A-infinity algebras, loop homotopy (quantum L-infinity) and IBL-infinity algebras governing its structure.

Operads are mathematical devices that describe algebraic structures of many varieties and in various categories. Operads are particularly important in categories with a good notion of 'homotopy', where they play a key role in organizing hierarchies of higher homotopies. This book offers an introduction describing the development of operad theory.