As of today, there exist consistent, gauge-invariant string field theories describing all string
theories: bosonic open and closed strings, open superstrings, heterotic strings, and type II …

The possible tensor constructions of open string theories are analyzed from first principles.
To this end the algebraic framework of open string field theory is clarified, including the role …

Our geometric concepts evolved first through the discovery of Non-Euclidean geometry. The
discovery of quantum mechanics in the form of the noncommuting coordinates on the phase …

From the reviews:" This is a very interesting book containing material for a comprehensive
study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. Lie algebras …

This is a two-volume series research monograph on the general Lagrangian Floer theory
and on the accompanying homological algebra of filtered $ A_\infty $-algebras. This book …

The complete quantum theory of covariant closed strings is constructed in detail. The
nonpolynomial action is defined by elementary vertices satisfying recursion relations that …

The central objects in the book are Lagrangian submanifolds and their invariants, such as
Floer homology and its multiplicative structures, which together constitute the Fukaya …

Contents 1. Introduction Page 1 Homology, Homotopy and Applications, vol.3, No.1, 2001,
pp.1{35 INTRODUCTION TO A-INFINITY ALGEBRAS AND MODULES DEDICATED TO H …

Chen's theory of iterated integrals provides a remarkable model for the di erential forms on
the based loop space M of a di erentiable manifold M (Chen 10]; see also Hain-Tondeur 23] …

The cyclic homology of associative algebras was introduced by Connes [4] and Tsygan [22]
in order to extend the classical theory of the Chern character to the non-commutative setting …