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The purpose of this note is make Theorem 13 in the article "On Biautomaticity of Non-Homogenous Small-Cancellation Groups" more accessible. Restatements of the theorem already appeared in few of the authors' succeeding works but with no…

Group Theory · Mathematics 2010-09-29 Uri Weiss

This paper generalizes the bordered-algebraic knot invariant introduced in an earlier paper, giving an invariant now with more algebraic structure. It also introduces signs to define these invariants with integral coefficients. We describe…

Geometric Topology · Mathematics 2019-02-14 Peter S. Ozsvath , Zoltan Szabo

The formulas in the above Erratum are corrected.

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Csorgo

I comment on the challenges and opportunities presented by an extended period of reionization.

Astrophysics · Physics 2015-06-24 Lloyd Knox

One of the two basic theorems in [5] on the existence of solutions of PDEs is improved with the use of a group analysis type argument.

General Mathematics · Mathematics 2007-05-23 Elemer E Rosinger

Higher diameters of Cayley digraphs are defined and studied.

Combinatorics · Mathematics 2025-06-19 G. C. Magda , J. Rubin , S. Streipert , C. Watt , A. Kumar , G. P. Constantine

We establish some new theorems on pentagon and pentagram.

History and Overview · Mathematics 2019-08-06 Tran Quang Hung

This is a supplement to the article "Markov Chain Monte Carlo Based on Deterministic Transformations" available at http://arxiv.org/abs/1106.5850

Computation · Statistics 2013-07-01 Somak Dutta , Sourabh Bhattacharya

The present paper is written in response to the critical comments of M.R. Hadizadeh on our original paper Tetraquarks as diquark-antidiquark bound systems [Phys. Lett. B 741, 124 (2015), arXiv:1505.07510]. We present our clarifications on…

High Energy Physics - Phenomenology · Physics 2015-08-05 M. Monemzadeh , N. Tazimi , P. Sadeghi

This paper also has excessive overlap with the following papers also written by the authors or their collaborators: gr-qc/0608014, gr-qc/0511095, gr-qc/0505078, gr-qc/0502060, gr-qc/0603027, gr-qc/0606028, gr-qc/0607109, gr-qc/0607110,…

General Relativity and Quantum Cosmology · Physics 2019-10-21 Murat Korunur , Ali Havare , Mustafa Salti

Minor misprints corrected.

High Energy Physics - Theory · Physics 2008-02-03 Nobuyoshi Ohta

This paper is closely related to the recent work [BW17] of the same authors and our purpose is to elaborate more on some of the results and methods from [BW17]. More specifically our goal is two-fold. Firstly, we will indicate how a simple…

Analysis of PDEs · Mathematics 2023-07-18 Jean Bourgain , Nigel Watt

The method of higher covariant derivative regularization of gauge theories is reviewed. The objections raised in the literature last years are discussed and the consistency of the method is proven. New approach to regularization of…

High Energy Physics - Theory · Physics 2015-06-26 T. D. Bakeyev , A. A. Slavnov

This paper is to explain one of the two constructions in our work [L] on analytic foundation of GW theory. We improve and clarify the results there.

Symplectic Geometry · Mathematics 2015-09-23 Gang Liu

This is an addendum to our earlier paper on the defect of an ample divisor of an abelian variety. It modifies an argument of the original paper to handle one difficulty there. At the same time the modification improves the result in the…

Complex Variables · Mathematics 2007-05-23 Yum-Tong Siu , Sai-Kee Yeung

We explain and correct a mistake in Section 2.6 and Appendix C of the first and second author's paper "Representation Growth and Rational Singularities of the Moduli Space of Local Systems" arXiv:1307.0371.

Algebraic Geometry · Mathematics 2022-04-12 Avraham Aizenbud , Nir Avni , Roberto Rubio

We apply Diophantine analysis to classify edge-to-edge tilings of the sphere by congruent almost equilateral quadrilaterals (i.e., edge combination a3b). Parallel to a complete classification by Cheung, Luk and Yan, the method implemented…

Combinatorics · Mathematics 2022-08-05 Ho Man Cheung , Hoi Ping Luk

The revised version has two additional references and a shorter proof of Proposition 5.7. This version also makes numerous small changes and has an appendix containing a proof of the degree formula for a parametrized surface.

Algebraic Geometry · Mathematics 2007-05-23 David A. Cox

The anomalous rescaling for antisymmetric tensor fields, including gauge bosons, and Dirac fermions on Einstein spaces with boundary has been prone to errors and these are corrected here. The explicit calculations lead to some interesting…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Ian G. Moss , Stephen J. Poletti

An improved (streamlined and extended) version of this paper is available as math.RA/0203010, which however omits some details. We recommend the later version unless details are essential.

Rings and Algebras · Mathematics 2007-05-23 C. H. Barton , A. Sudbery
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