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  1. Journal of Homotopy and Related Structures
  2. Journal of Homotopy and Related Structures : Volume 9
  3. Journal of Homotopy and Related Structures : Volume 9, Issue 2, October 2014
  4. Reidemeister torsion for flat superconnections
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Journal of Homotopy and Related Structures : Volume 12
Journal of Homotopy and Related Structures : Volume 11
Journal of Homotopy and Related Structures : Volume 10
Journal of Homotopy and Related Structures : Volume 9
Journal of Homotopy and Related Structures : Volume 9, Issue 2, October 2014
The subgroup measuring the defect of the abelianization of $$\mathrm{SL}_2(\mathbb{Z }[i])$$
Existence of $$b_{0}b_1g_{0}\widetilde{\gamma }_{s}$$ -element in the stable homotopy of spheres
Saturating directed spaces
Homomorphisms of $$L_{\infty }$$ modules
Assembly maps with coefficients in topological algebras and the integral K-theoretic Novikov conjecture
Involutive $$A_\infty $$ -algebras and dihedral cohomology
A new approach to Whitehead’s asphericity question
Delooping totalization of a multiplicative operad
Cosimplicial models for spaces of links
Homotopy-theoretic E-theory and $$n$$ -order
Azumaya objects in triangulated bicategories
Upper bound on distance in the pants complex
Alexander varieties and largeness of finitely presented groups
Totalization of simplicial homotopy types
BP: close encounters of the $$E_\infty $$ kind
Reidemeister torsion for flat superconnections
Journal of Homotopy and Related Structures : Volume 9, Issue 1, April 2014
Journal of Homotopy and Related Structures : Volume 8
Journal of Homotopy and Related Structures : Volume 7

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Reidemeister torsion for flat superconnections

Content Provider Springer Nature Link
Author Arias Abad, Camilo Schätz, Florian
Copyright Year 2013
Abstract We use higher parallel transport—more precisely, the integration $$\mathsf{A }_\infty $$ -functor constructed in Arias Abad and Schätz (The $$\mathsf{A}_\infty $$ de Rham theorem and the integration of representations up to homotopy. Int Math Res Not, 2013) and Block and Smith (A Riemann–Hilbert correspondence for infinity local systems. arXiv:0908.2843, 2012)—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 (Contemp Math 546, 199–212, 2011).
Starting Page 579
Ending Page 606
Page Count 28
File Format PDF
ISSN 21938407
Journal Journal of Homotopy and Related Structures
Volume Number 9
Issue Number 2
e-ISSN 15122891
Language English
Publisher Springer Berlin Heidelberg
Publisher Date 2013-09-19
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Reidemeister torsion Algebra Holonomy Functional Analysis Algebraic Topology Iterated integrals Superconnections Simplicial complexes Number Theory
Content Type Text
Resource Type Article
Subject Algebra and Number Theory Geometry and Topology
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