Stolz Positive Scalar Curvature Structure Groups, Proper Actions and Equivariant 2-Types

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2025
• ISSN: 1815-0659
• Hauptverfasser: Puglisi, Massimiliano, Schick, Thomas, Zenobi, Vito Felice
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2025
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/214190
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Stolz Positive Scalar Curvature Structure Groups, Proper Actions and Equivariant 2-Types. Massimiliano Puglisi, Thomas Schick and Vito Felice Zenobi. SIGMA 21 (2025), 093, 19 pages

In this note, we study equivariant versions of Stolz's -groups, the positive scalar curvature structure groups ˢᵖⁱⁿₙ()ᴳ, for proper actions of discrete groups . We define the concept of a fundamental groupoid functor for a -space, encapsulating all the fundamental group information of all the f...