Homotopy algebra of open-closed strings
High Energy Physics - Theory
2009-04-05 v3 Algebraic Topology
Quantum Algebra
Abstract
This paper is a survey of our previous works on open-closed homotopy algebras, together with geometrical background, especially in terms of compactifications of configuration spaces (one of Fred's specialities) of Riemann surfaces, structures on loop spaces, etc. We newly present Merkulov's geometric A_infty-structure [Internat. Math. Res. Notices (1999) 153--164, arxiv:math/0001007] as a special example of an OCHA. We also recall the relation of open-closed homotopy algebras to various aspects of deformation theory.
Keywords
Cite
@article{arxiv.hep-th/0606283,
title = {Homotopy algebra of open-closed strings},
author = {Hiroshige Kajiura and Jim Stasheff},
journal= {arXiv preprint arXiv:hep-th/0606283},
year = {2009}
}
Comments
This is the version published by Geometry & Topology Monographs on 22 February 2008