# Gauge theory and string topology

@article{Cohen2013GaugeTA,
title={Gauge theory and string topology},
author={R. Cohen and J. D. Jones},
journal={Bolet{\'i}n de la Sociedad Matem{\'a}tica Mexicana},
year={2013},
volume={23},
pages={233-255}
}
• Published 2013
• Mathematics
• Boletín de la Sociedad Matemática Mexicana
• Given a principal bundle over a closed manifold, $$G \rightarrow P \rightarrow M$$G→P→M, let $$P^{Ad} \rightarrow M$$PAd→M be the associated adjoint bundle. Gruher and Salvatore (Proc Lond Math Soc 96(3), 78106 2008) showed that the Thom spectrum $$(P^\mathrm{Ad})^{-TM}$$(PAd)-TM is a ring spectrum whose corresponding product in homology is a Chas-Sullivan type string topology product. We refer to this spectrum as the “string topology spectrum of P”, $$\mathcal {S}(P)$$S(P). In the universal… CONTINUE READING
7 Citations