Detailseite
Getwistete String-Strukturen
Antragsteller
Professor Dr. Gerd Laures
Fachliche Zuordnung
Mathematik
Förderung
Förderung von 2016 bis 2020
Projektkennung
Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 322563960
Erstellungsjahr
2020
Zusammenfassung der Projektergebnisse
The spectrum of topological modular forms T mf and its derivatives T mf1 (N ) with level structures connects the machinery of Algebraic Topology and to Algebraic Geometry to the analysis on loop spaces and to quantum field theories. String manifolds admit a canonical orientation in T mf in the same way as spin manifolds admit an orientation in real K-theory. The theories T mf1 (N ) are known to be complex orientable but it is unsolved which orientations are highly structured with respect to commutativity. The research project solved the problem to find all such E∞-orientations with respect to SU-bordism.
Projektbezogene Publikationen (Auswahl)
- Cannibalistic classes of string bundles, Manuscripta Math., 156 (2018), no. 3-4, 273–298
Gerd Laures and Martin Olbermann
(Siehe online unter https://doi.org/10.1007/s00229-017-0978-8) - Towards a splitting of the K(2)-local string bordism spectrum, Proc. Amer. Math. Soc., 147 (2019), no. 1, 399–410
Gerd Laures and Björn Schuster
(Siehe online unter https://doi.org/10.1090/proc/14190)