50 citations · 85 across the 7 of their papers we have counts for
9 papers
Morse field theory
Ralph L. Cohen, Paul Norbury
In this paper we define and study the moduli space of metric-graph-flows in a manifold M. This is a space of smooth maps from a finite graph to M, which, when restricted to each ed…
Notes on string topology
Ralph L. Cohen, Alexander A. Voronov
This paper is an exposition of the new subject of String Topology. We present an introduction to this exciting new area, as well as a survey of some of the latest developments, and…
Morse theory, graphs, and string topology
Ralph L. Cohen
In these lecture notes we discuss a body of work in which Morse theory is used to construct various homology and cohomology operations. In the classical setting of algebraic topolo…
The topology of the category of open and closed strings
Nils A. Baas, Ralph L. Cohen, Antonio Ramirez
In this paper we study the topology of the cobordism category of open and closed strings. This is a 2-category in which the objects are compact one-manifolds whose boundary compone…
A polarized view of string topology
Ralph L. Cohen, Veronique Godin
Let M be a closed, connected manifold, and LM its loop space. In this paper we describe closed string topology operations in h_*(LM), where h_* is a generalized homology theory tha…
The loop homology algebra of spheres and projective spaces
Ralph L. Cohen, John D. S Jones, Jun Yan
Chas and Sullivan recently defined an intersection product on the homology of the space of smooth loops in a closed, oriented manifold . In this paper we will use the…