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A comment on a misleading statement contained in [Phys. Rev. A 97, 062115 (2018)]. v2: a typo corrected

Quantum Physics · Physics 2018-07-17 Marcin Wieśniak

This paper is a brief overview of some of our recent results in collaboration with other authors. The cocycle invariants of classical knots and knotted surfaces are summarized, and some applications are presented.

Geometric Topology · Mathematics 2007-05-23 J. Scott Carter , Masahico Saito

Reparameterization from the standard set of orbital elements to Cartesian position-velocity vectors can be computationally advantageous for orbit inference problems, particularly when orbital elements are weakly constrained. Here we present…

Earth and Planetary Astrophysics · Physics 2026-05-14 Kento Masuda , Kansuke Nunota

We fix a gap in the proof of a result in our earlier paper arXiv:1908.09548

Functional Analysis · Mathematics 2020-04-29 F. Sukochev , K. Tulenov , D. Zanin

We start with a discussion on Alexander invariants, and then prove some general results concerning the divisibility of the Alexander polynomials and the supports of the Alexander modules, via Artin's vanishing theorem for perverse sheaves.…

Algebraic Topology · Mathematics 2012-04-03 Alexandru Dimca , Laurentiu Maxim

We correct an error in [I. Kangasniemi, and J. Onninen, On the heterogeneous distortion inequality. Math. Ann. 384 (2022), no. 3-4, 1275-1308.]

Complex Variables · Mathematics 2025-05-16 Ilmari Kangasniemi , Jani Onninen

This is an addendum to the Reply Comment [Phys. Rev. Lett. 102, 139602 (2009), arXiv:0811.0518] to Comment [Phys. Rev. Lett. 102, 139601 (2009), arXiv:0810.4791] on Letter [Phys. Rev. Lett. 100, 116101 (2008), arXiv:0804.1898].

Statistical Mechanics · Physics 2009-07-09 Carlos Escudero

This Comment identifies errors in the formalism/implementation reported in Ref. 1 and discusses some aspects of that work that were not fully specified in the original publication. This Comment also provides reference numerical results for…

Chemical Physics · Physics 2023-02-15 Conner Masteran , Ashutosh Kumar , Nakul Teke , Bimal Gaudel , Takeshi Yanai , Edward F. Valeev

In this brief paper, we complete the analysis presented previously in [RMF 64 (2018) 662-670, arXiv:1803.02426] regarding the quantifiers of the classical correlations and the so-called local available quantum correlations for Bell Diagonal…

Quantum Physics · Physics 2023-11-29 David M. Bellorin R. , Hermann L. Albrecht Q

The desired format has not been accessed in the arXiv.

Nuclear Experiment · Physics 2009-11-18 P. Mandal , G. Sikler , M. Mukherjee

S.E. Hans paper, Remarks on Pseudocovering Spaces in a Digital Topological Setting: A Corrigendum, is meant to address errors in previous papers. However, this paper is also marked by errors in its mathematics, as well as improprieties in…

Geometric Topology · Mathematics 2026-05-22 Laurence Boxer

This note is about variations on a theorem of Bers about short pants decompositions of surfaces. It contains a version for surfaces with boundary but also a slight improvement on the best known bound for closed surfaces.

Geometric Topology · Mathematics 2024-03-14 Hugo Parlier

The purpose of this note is to correct an inaccuracy in the paper: R.P. Agaev and P.Yu. Chebotarev, "On Determining the Eigenprojection and Components of a Matrix," Autom. Remote Control, 2002, vol. 63, pp. 1537-1545 [arXiv:math/0508197],…

Rings and Algebras · Mathematics 2011-04-04 Pavel Chebotarev , Rafig Agaev

This contributions discusses the simulation of magnetothermal effects in superconducting magnets as used in particle accelerators. An iterative coupling scheme using reduced order models between a magnetothermal partial differential model…

Computational Engineering, Finance, and Science · Computer Science 2017-11-01 Sebastian Schöps , Idoia Cortes Garcia , Michał Maciejewski , Bernhard Auchmann

This paper was withdrawn by the author. The appearance of an author-written addendum [3] to the paper [2] made our correction note [1] to that paper superfluous and hence it is no longer available here. [1] Dror Bar-Natan and Ofer Ron, A…

Geometric Topology · Mathematics 2009-09-29 Dror Bar-Natan , Ofer Ron

This is a revised version (replacing an older one) with typos fixed and the introduction expanded.

q-alg · Mathematics 2008-02-03 Stavros Garoufalidis , Nathan Habegger

We provide some corrections and clarifications to the paper [Gr3] of the title. In particular, we clarify the "left/right" conventions on complex reflection groups and their braid groups. Most importantly, we fill in a gap related to the…

Algebraic Geometry · Mathematics 2020-02-27 Mikhail Grinberg

We study torsion properties of the twisted Alexander modules of the affine complement $M$ of a complex essential hyperplane arrangement, as well as those of punctured stratified tubular neighborhoods of complex essential hyperplane…

Geometric Topology · Mathematics 2020-02-21 Eva Elduque

We correct the proof of Theorem 4.1 from [C. R. Math. Acad. Sci. Soc. R. Can. \textbf{44} (2022), no. 4, 88--112].

Operator Algebras · Mathematics 2024-03-29 Chris Bruce , Charles Starling

We correct certain errors and ambiguities in the recent pedagogical article by Hopkins and de Bruyn. The early-time asymptotics of the solution to the transient version of Stokes' second problem for an Oldroyd-B fluid in a half-space is…

Fluid Dynamics · Physics 2015-11-18 Ivan C. Christov