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  1. Science in China Series A: Mathematics
  2. Science in China Series A: Mathematics : Volume 53
  3. Science in China Series A: Mathematics : Volume 53, Issue 3, March 2010
  4. Twisted analytic torsion
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Science in China Series A: Mathematics : Volume 60
Science in China Series A: Mathematics : Volume 59
Science in China Series A: Mathematics : Volume 58
Science in China Series A: Mathematics : Volume 57
Science in China Series A: Mathematics : Volume 56
Science in China Series A: Mathematics : Volume 55
Science in China Series A: Mathematics : Volume 54
Science in China Series A: Mathematics : Volume 53
Science in China Series A: Mathematics : Volume 53, Issue 12, December 2010
Science in China Series A: Mathematics : Volume 53, Issue 11, November 2010
Science in China Series A: Mathematics : Volume 53, Issue 10, October 2010
Science in China Series A: Mathematics : Volume 53, Issue 9, September 2010
Science in China Series A: Mathematics : Volume 53, Issue 8, August 2010
Science in China Series A: Mathematics : Volume 53, Issue 7, July 2010
Science in China Series A: Mathematics : Volume 53, Issue 6, June 2010
Science in China Series A: Mathematics : Volume 53, Issue 5, May 2010
Science in China Series A: Mathematics : Volume 53, Issue 4, April 2010
Science in China Series A: Mathematics : Volume 53, Issue 3, March 2010
Value distribution theory and the research of Yang Lo
Picard’s theorem and the Rickman construction
Symplectic supercuspidal representations and related problems
Nevanlinna theory of meromorphic functions on annuli
Twisted analytic torsion
Metrics on complex manifolds
Arithmetic of Shimura curves
Normal families and fixed points of iterates
Some new results on planar harmonic mappings
The truncated Second Main Theorem and uniqueness theorems
Variational construction of unbounded orbits in Lagrangian systems
Distortion control of conjugacies between quadratic polynomials
The second pluri-genus of smoothable Gorenstein surface singularities
Recurrence properties of sequences of integers
A reverse Denjoy theorem III
Quasisymmetric property for conjugacies between Anosov diffeomorphisms of the two-torus
A blow-up criterion for classical solutions to the compressible Navier-Stokes equations
Equivalence problem for Bishop surfaces
Flatness of CR submanifolds in a sphere
Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases
Real meromorphic functions and linear differential polynomials
Normality and shared values concerning differential polynomials
The pseudo-affine transformations in ℝ$^{2}$
On interpolation for Hörmander’s algebras
Lipschitz spaces and Q $_{K}$ type spaces
On the rigidity theorem for harmonic functions in Kähler metric of Bergman type
A spectral interpretation for the explicit formula in the theory of prime numbers
Factorization of proper holomorphic maps on irreducible bounded symmetric domains of rank ⩾ 2
Completely irreducible sequences of meromorphic functions
Combinatorial rigidity of unicritical maps
Connectivity of the Mandelbrot set for the family of renormalization transformations
The numbers of periodic orbits hidden at fixed points of 2-dimensional holomorphic mappings
On fixed-points and singular values of transcendental meromorphic functions
Science in China Series A: Mathematics : Volume 53, Issue 2, February 2010
Science in China Series A: Mathematics : Volume 53, Issue 1, January 2010
Science in China Series A: Mathematics : Volume 52
Science in China Series A: Mathematics : Volume 51
Science in China Series A: Mathematics : Volume 50
Science in China Series A: Mathematics : Volume 49
Science in China Series A: Mathematics : Volume 48
Science in China Series A: Mathematics : Volume 47
Science in China Series A: Mathematics : Volume 46
Science in China Series A: Mathematics : Volume 45
Science in China Series A: Mathematics : Volume 44
Science in China Series A: Mathematics : Volume 43
Science in China Series A: Mathematics : Volume 42
Science in China Series A: Mathematics : Volume 41
Science in China Series A: Mathematics : Volume 40

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Twisted analytic torsion

Content Provider SpringerLink
Author Mathai, Varghese Wu, SiYe
Copyright Year 2010
Abstract We review the Reidemeister, Ray-Singer’s analytic torsion and the Cheeger-Müller theorem. We describe the analytic torsion of the de Rham complex twisted by a flux form introduced by the current authors and recall its properties. We define a new twisted analytic torsion for the complex of invariant differential forms on the total space of a principal circle bundle twisted by an invariant flux form. We show that when the dimension is even, such a torsion is invariant under certain deformation of the metric and the flux form. Under T-duality which exchanges the topology of the bundle and the flux form and the radius of the circular fiber with its inverse, the twisted torsion of invariant forms are inverse to each other for any dimension.
Starting Page 555
Ending Page 563
Page Count 9
File Format PDF
ISSN 16747283
Journal Science in China Series A: Mathematics
Volume Number 53
Issue Number 3
e-ISSN 18622763
Language English
Publisher SP Science China Press
Publisher Date 2010-03-31
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword analytic torsion circle bundles T-duality Determinants and determinant bundles, analytic torsion Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. Pseudodifferential and Fourier integral operators on manifolds String and superstring theories; other extended objects Applications of Mathematics
Content Type Text
Resource Type Article
Subject Mathematics
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