51 citations · 189 across the 26 of their papers we have counts for
27 papers
Floer homotopy theory, revisited
Ralph L. Cohen
In 1995 the author, Jones, and Segal introduced the notion of "Floer homotopy theory". The proposal was to attach a (stable) homotopy type to the geometric data given in a version…
Twisted Calabi-Yau ring spectra, string topology, and gauge symmetry
Ralph L. Cohen, Inbar Klang
In this paper, we import the theory of "Calabi-Yau" algebras and categories from symplectic topology and topological field theories to the setting of spectra in stable homotopy the…
Homotopy automorphisms of R-module bundles, and the K-theory of string topology
Ralph L. Cohen, John D. S Jones
Let be a ring spectrum and an -module bundle of rank . Our main result is to identify the homotopy type of the group-like monoid of homotopy automorphisms of th…
Gauge theory and string topology
Ralph L. Cohen, John D. S. Jones
Given a principal bundle over a closed manifold, G --> P --> M, let P^{Ad} --> M be the associated adjoint bundle. Gruher and Salvatore showed that the Thom spectrum (P^{Ad})^{-TM}…
Stability for closed surfaces in a background space
Ralph L. Cohen, Ib Madsen
In this paper we present a new proof of the homological stability of the moduli space of closed surfaces in a simply connected background space , which we denote by . T…
Stability phenomena in the topology of moduli spaces
Ralph L. Cohen
The recent proof by Madsen and Weiss of Mumford's conjecture on the stable cohomology of moduli spaces of Riemann surfaces, was a dramatic example of an important stability theorem…