Models for operads

Abstract

We study properties of differential graded (dg) operads modulo weak equivalences, that is, modulo the relation given by the existence of a chain of dg operad maps including a homology isomorphism. This approach, naturally arising in string theory, leads us to consider various versions of models. Some applications in topology (homotopy-everything spaces), algebra (cotangent cohomology) and mathematical physics (closed string-field theory) - are also given

Keywords:

• operad
• model
• cohomology
• string theory

¹Supported by the National Academy of Sciences, USA, and by the grant AV CR#119 105

¹Supported by the National Academy of Sciences, USA, and by the grant AV CR#119 105

Notes

¹Supported by the National Academy of Sciences, USA, and by the grant AV CR#119 105