3 papers
math.GT2002
Closed string operators in topology leading to Lie bialgebras and higher string algebra
Moira Chas, Dennis Sullivan
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 discus…
math.GT2001
Combinatorial Lie bialgebras of curves on surfaces
Moira Chas
Goldman and Turaev found a Lie bialgebra structure on the vector space generated by non-trivial free homotopy classes of curves on a surface. When the surface has non-empty boundar…
math.GT1999
String Topology
Moira Chas, Dennis Sullivan
Consider two families of closed oriented curves in a d-manifold. At each point of intersecction of a curve of one family with a curve of the other family, form a new closed curve b…