50 citations · 85 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
Fourier Decompositions of Loop Bundles
Ralph L. Cohen, Andrew Stacey
In this paper we investigate bundles whose structure group is the loop group LU(n). Our main result is to give a necessary and sufficient criterion for there to exist a Fourier typ…
Holomorphic K-theory, algebraic co-cycles, and loop groups
Ralph L. Cohen, Paulo Lima-Filho
In this paper we study the "holomorphic K-theory" of a projective variety, which is defined in terms of the homotopy type of spaces of holomorphic maps from the variety to Grassman…