50 citations · 85 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
A homotopy theoretic realization of string topology
Ralph L. Cohen, John D. S. Jones
Let be a closed, oriented manifold of dimension . Let be the space of smooth loops in . Chas and Sullivan recently defined a product on the homology of deg…