Article (Scientific journals)
Reidemeister torsion for flat superconnections
Arias Abad, Camilo; SCHATZ, Florian
2014In Journal of Homotopy and Related Structures, 9 (2), p. 579-606
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The original publication is available at http://link.springer.com/article/10.1007%2Fs40062-013-0052-5


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Keywords :
Reidemeister torsion; flat superconnections; higher holonomies
Abstract :
[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.
Research center :
Center for Mathematical Analysis, Geometry and Dynamical Systems, IST Lisbon (Lisbon, Portugal)
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 :
Reidemeister torsion for flat superconnections
Publication date :
2014
Journal title :
Journal of Homotopy and Related Structures
ISSN :
1512-2891
eISSN :
2193-8407
Publisher :
National Centre for Science and Technology
Volume :
9
Issue :
2
Pages :
579-606
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
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
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