[en] We use higher parallel transport -- more precisely, the integration A-infinity-functor constructed
in -to define Reidemeister torsion for flat superconnections. We conjecture a version of the Cheeger-Müller theorem, namely that the combinatorial Reidemeister torsion coincides with the analytic torsion defined by Mathai and Wu.
Centre de recherche :
Center for Mathematical Analysis, Geometry and Dynamical Systems, IST Lisbon (Lisbon, Portugal)
Disciplines :
Mathématiques
Auteur, co-auteur :
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
Swiss National Science Foundation (SNF-grant 20-113439) Center for Mathematical Analysis, Geometry and Dynamical Systems, IST Lisbon (Lisbon, Portugal) FCT through program POCI 2010/FEDER, postdoc grant SFRH/BPD/69197/2010 and by project PTDC/MAT/098936/2008
