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For two covariant differential *-calculi, the twisted cyclic cocycle associated with the volume form is represented in terms of commutators [F,\rho(x)] for some self-adjoint operator F and some *-representation $\rho$ of the underlying…

Quantum Algebra · Mathematics 2007-05-23 Konrad Schmuedgen , Elmar Wagner

This paper has been withdrawn due to an error, and no further revisions will be made.

History and Overview · Mathematics 2009-11-05 Josh Isralowitz

This paper has been withdrawn by the author due to a crucial argument error at p.10.

Commutative Algebra · Mathematics 2007-05-23 Susumu Oda

This paper has been withdrawn by the authors. Significantly revised versions of the results of this paper are now available in arXiv:0707.0487v2 and arXiv:0808.3169v1.

Geometric Topology · Mathematics 2011-03-08 Krishnendu Gongopadhyay , Ravi S. Kulkarni

This paper has been withdrawn by the author as a more general result is known and could be referenced at "Combinatorial Enumeration" by Ian P. Goulden, David M. Jackson - Dover Publication 2004 - Section 3.3.13, Page 176.

Combinatorics · Mathematics 2009-10-07 Alok Bhushan Shukla

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

Operator Algebras · Mathematics 2012-01-04 Dinh Trung Hoa

The paper has been withdrawn by the author because the observed effect has a different origin.

Superconductivity · Physics 2007-05-23 A. Mourachkine

I withdraw the previous version of the paper since it contains conceptual and mathematical mistakes. I will soon replace it with a radically revised version.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gavriel Segre

This paper has been withdrawn by the author due to a crucial sign error in equation 1

General Relativity and Quantum Cosmology · Physics 2011-11-10 Claudia Moreno , R. Garcia-Salcedo

The concept of cyclic tridiagonal pairs is introduced, and explicit examples are given. For a fairly general class of cyclic tridiagonal pairs with cyclicity N, we associate a pair of `divided polynomials'. The properties of this pair…

Quantum Algebra · Mathematics 2017-03-22 P. Baseilhac , A. M. Gainutdinov , T. T. Vu

Using a complex parameterizing rational spherical chains, we construct explicit cocycles for $\mathrm{GL}_n(\Q)$ valued in the motivic cohomology of (open subsets of) the algebraic $n$-torus $\mathbb{G}_m^n$. The resulting cocycles directly…

Number Theory · Mathematics 2025-09-26 Peter Xu

We continue the investigation of twisted homology theories in the context of dimension drop phenomena. This work unifies previous equivariant index calculations in twisted cyclic cohomology. We do this by proving the existence of the…

K-Theory and Homology · Mathematics 2011-11-28 Adam Rennie , Roger Senior

This paper has been withdrawn by the author due to an error in the computation of the central charge.

High Energy Physics - Theory · Physics 2010-10-06 Reza Fareghbal

The paper has been withdrawn by change of content and some errors in the examples.

Algebraic Geometry · Mathematics 2007-05-23 Abel Castorena

This paper has been withdrawn by the author due to a crucial sign error in Theorem 3.4.

Commutative Algebra · Mathematics 2010-11-19 Majid Eghbali-Koozehkonan

The paper has been withdrawn

Analysis of PDEs · Mathematics 2007-05-23 Adrian Constantin , Doron Levy

It is believed arXiv:0808.2762, arXiv:math/9904055 that, among the coefficients entering Kontsevich's formality quasi-isomorphism arXiv:q-alg/9709040, there are irrational (possibly even transcendental) numbers. In this paper, we prove that…

K-Theory and Homology · Mathematics 2017-02-10 Vasily Dolgushev

This paper has been withdrawn by the authors, due an error in Bethe Ansatz equations (16).

Statistical Mechanics · Physics 2007-05-23 Huan-Qiang Zhou , Holger Frahm , Mark D. Gould

This paper has been withdrawn by the author(s). The material contained in the paper will be published in a subtantially reorganized form, part of it is now included in math.QA/0510174

Quantum Algebra · Mathematics 2007-05-23 J. Teschner

This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.

Differential Geometry · Mathematics 2008-06-10 Jon Wolfson
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