Closed string operators in topology leading to Lie bialgebras and higher string algebra

2002/12/27 by Moira Chas, Dennis Sullivan, Chas, Moira +1
Mathematics · #51Hxx(primary) 17B37 (secondary) #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #math.GT #math.QA #msc:17B37

paper · pdf · doi:10.48550/arxiv.math/0212358

arxiv created 2002/12/27 · arxiv updated 2009/11/30

Abstract

This paper explains the conjectured algebraic duality between genus zero Gromov-Witten theory and genus zero "Closed String topology". This duality in another perspective is discussed on page 87 of the book "Frobenius manifold, quantum cohomology, and moduli spaces" (by Yuri Manin). This paper also discusses Fulton MacPherson strata.

Related

• Notes on string topology
• Open and Closed String field theory interpreted in classical Algebraic Topology
• Closed string field theory, strong homotopy Lie algebras and the operad actions of moduli space
• Quantum A-infinity Structures for Open-Closed Topological Strings
• Open-closed moduli spaces and related algebraic structures