nLab Paolo Salvatore

Paolo Salvatore is an Italian mathematician who works in Dipartimento di Matematica Università di Roma “Tor Vergata”. His research interests include configuration spaces of points, string topology, operads, spaces of knots, and cohomology operations.

• personal page

Selected writings

On group completion of configuration spaces of points and aspects of what later came to be called nonabelian Poincaré duality:

• Paolo Salvatore: Configuration spaces with summable labels, in Aguadé J., Broto C., Carles Casacuberta (eds.): Cohomological methods in homotopy theory (Bellaterra, 1998), Progr. Math. 196, Birkhäuser (2001) 375–395 [doi:10.1007/978-3-0348-8312-2_23, arXiv:math/9907073]

Generalizing string topology operations from the free loop space $L M \to M$ to any bundle of homotopy monoids and enhancing it from a product on ordinary homology to Thom ring spectra:

• Kate Gruher, Paolo Salvatore: Generalized string topology operations, Proc. London Math. Soc. 96 1 (2008) 78–106 [doi:10.1112/plms/pdm030, math.AT/0602210]

On framed little n-disk operads such as the framed little 2-disk operad:

• Jeffrey Giansiracusa, Paolo Salvatore, Formality of the framed little 2-discs operad and semidirect products , in: Homotopy theory of function spaces and related topics, Cont. Math. 519, AMS, pp. 115-121 (arxiv 0911.4428)

and in relation to BV-algebra:

• Paolo Salvatore, Nathalie Wahl: Framed discs operads and Batalin-Vilkovisky algebras, The Quarterly Journal of Mathematics 54 2 (2003) 213–231 [pdf, doi:10.1093/qmath/hag012]

On the group homology of braid groups:

• Andrea Bianchi, Filippo Callegaro, Luigi Caputi, Paolo Salvatore: Stable homology of complex braid groups [arXiv:2606.12206]

category: people