Eprint already available on another site (E-prints, Working papers and Research blog)
Flat Z-graded connections and loop spaces
Arias Abad, Camilo; SCHATZ, Florian


Full Text
Author preprint (487.98 kB)

All documents in ORBilu are protected by a user license.

Send to


Keywords :
loop spaces; iterated integrals; dg modules
Abstract :
[en] The pull back of a flat bundle E→X along the evaluation map π:LX→X from the free loop space LX to X comes equipped with a canonical automorphism given by the holonomies of E. This construction naturally generalizes to flat Z-graded connections on X. Our main result is that the restriction of this holonomy automorphism to the based loop space ΩX of X provides an A-infinity quasi-equivalence between the dg category of flat Z-graded connections on X and the dg category of representations of C(ΩX), the dg algebra of singular chains on ΩX.
Disciplines :
Author, co-author :
Arias Abad, Camilo;  Universidad Nacional de Colombia en Medellín > Escuela de Matemáticas > Profesor Asistente
SCHATZ, Florian ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
Title :
Flat Z-graded connections and loop spaces
Publication date :
Number of pages :
Funders :
SNSF - Swiss National Science Foundation [CH]
Danish National Research Foundation by the center of excellence grant “Centre for Quantum Geometry of Moduli Spaces” (DNRF95)
Available on ORBilu :
since 25 November 2015


Number of views
79 (9 by Unilu)
Number of downloads
141 (3 by Unilu)


Similar publications

Contact ORBilu