A Framework for Geometric Field Theories and Their Classification in Dimension One

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2021
• ISSN: 1815-0659
• Hauptverfasser: Ludewig, Matthias, Stoffel, Augusto
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2021
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211351
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: A Framework for Geometric Field Theories and Their Classification in Dimension One. Matthias Ludewig and Augusto Stoffel. SIGMA 17 (2021), 072, 58 pages

In this paper, we develop a general framework of geometric functorial field theories, meaning that all bordisms in question are endowed with geometric structures. We take particular care to establish a notion of smooth variation of such geometric structures, so that it makes sense to require the out...