394 citations · 403 across the 9 of their papers we have counts for
10 papers
Compact Lie Groups and Complex Reductive Groups
John Jones, Dmitriy Rumynin, Adam Thomas
We show that the categories of compact Lie groups and complex reductive groups (not necessarily connected) are homotopy equivalent topological categories. In other words, the corre…
String homology, and closed geodesics on manifolds which are elliptic spaces
J. D. S. Jones, J. McCleary
Let be a closed simply connected smooth manifold. Let $\F_p$ be the finite field with elements where is a prime integer. Suppose that is an $\F_p$-elliptic space…
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}…
The Symmetric Join Operad
Michal Adamaszek, John D. S. Jones
The join operad arises from the combinatorial study of the iterated join of simplices. We study a suitable simplicial version of this operad which includes the symmetries given by…
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…