[en] Given a flat connection on a manifold M with values in a filtered L-infinity-algebra g, we construct a morphism, generalizing the holonomies of flat connections with values in Lie algebras. The construction is based on Gugenheim's A-infinity version of de Rham's theorem, which in turn is based on Chen's iterated integrals. Finally, we discuss examples related to the geometry of configuration spaces of points in Euclidean space Rd, and to generalizations of the holonomy representations of braid groups.
Research center :
Centre for Quantum Geometry of Moduli Spaces, Aarhus University (Aarhus, Denmark)
Disciplines :
Mathematics
Author, co-author :
Arias Abad, Camilo; Universidad Nacional de Colombia en Medellín (Colombia) > Escuela de Matemáticas > Profesor Asistente
SCHATZ, Florian ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
yes
Language :
English
Title :
Holonomies for connections with values in L_infty algebras
Swiss National Science Foundation (SNF-grant 200020-131813/1) Humboldt Stiftung (Germany) ERC Starting Grant no. 279729 Danish National Research Foundation grant DNRF95 (Centre for Quantum Geometry of Moduli Spaces - QGM) Utrecht University (Utrecht, The Netherlands)
scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.
Bibliography
Similar publications
Sorry the service is unavailable at the moment. Please try again later.
