Related papers: Comment on "Anyonic braiding in optical lattices"

We describe an error in the proof of a key proposition, which was necessary for the proof of the main result. Alternate proofs of the main result are given by Ozsvath-Stipsicz-Szabo and Dai-Hom-Stoffregen-Truong.

A counter-example by Xiangchun Xiao, Guoping Zhao and Guorong Zhou in [J. Pseudo-Differ. Oper. Appl., (2021) 12:60] is incorrect. Further, there is no new characterization of weaving for g-frames by Xiangchun Xiao et al. in [2]. Xiangchun…

Due to a significant error in the main result (pointed out by J. Wahl), the paper has been withdrawn by the authors. A corrected and expanded version is 'Rational blow-downs and smoothings of surface singularities' by A. Stipsicz, Z. Szabo…

The Comment by Aifantis that criticizes the article 'On non-singular crack fields in Helmholtz type enriched elasticity theories' [Lazar, M., Polyzos, D., 2014. Int. J. Solids Struct. doi: 10.1016/j.ijsolstr.2014.01.002] is refuted by means…

This paper has been withdrawn by the author due to a sheaf-theoretic error, in the end of the proof of the main theorem.

We give a simple characterization of braids that can be unplaited keeping separately their upper ends and their lower ends tied together

This manuscript has been withdrawn at 17 April, 2007.

This paper has been withdrawn by the author due to a crucial argument error at p.10.

This paper is being withdrawn as its main results are already included in section 2 of the paper hep-lat/9901006.

In this comment, I point out to several mathematical mistakes in the above-referenced letter.

We comment on the latest paper [K.-H. Ding, Z.-G. Zhu, and J. Berakdar, J. Phys.: Condens. Matter 24, 266003 (2012)].

I now agree with conclusion of author that there is a problem with unitarity in discussed models.

We study the realization of anomalous Ward identities in deconstructed (latticized) supersymmetric theories. In a deconstructed four-dimensional theory with N=2 supersymmetry, we show that the chiral symmetries only appear in the infrared…

This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.

We show that the principal results of the article "The metric dimension of graph with pendant edges" [Journal of Combinatorial Mathematics and Combinatorial Computing, 65 (2008) 139--145] do not hold. In this paper we correct the results…

I reply to a Comment by Q. Wang and W.G. Unruh regarding my paper "Hiding the Cosmological Constant" [Phys. Rev. Lett. 123, 131302].

Building on techniques from complex analysis and topology, we establish a remarkable property of branched covers and formulate a complete criterion for the existence of specific types of branched covers between 2-spheres. Our results extend…

The uniqueness argument in the proof of Theorem 5, p. 483, of "Small noise asymptotics for invariant densities for a class of diffusions: a control theoretic view, J. Math. Anal. and Appl. (2009) " is flawed. We give here a corrected proof.

This paper has been withdrawn by the author due to a crucial error.

It was recently remarked by Lutz [{\it Phys. Rev. A} {\bf 67} (2003), 051402(R)] that the equation for the marginal Wigner distribution in an optical lattice admits a scale-free distribution corresponding to Tsallis statistics. Here we show…