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This paper can be considered as an extension to our paper [On symplectically harmonic forms on six-dimensional nilmanifolds, Comment. Math. Helv. 76 (2001), n 1, 89-109]. Also, it contains a brief survey of recent results on symplectically…

Symplectic Geometry · Mathematics 2007-05-23 R. Ibáñez , Yu. Rudyak , A. Tralle , L. Ugarte

We establish a new simple explicit description of combinatorial wall-crossing for the rational Cherednik algebra applied to the trivial representation. In this way we recover a theorem of P. Dimakis and G. Yue. We also present two…

Combinatorics · Mathematics 2021-06-09 Galyna Dobrovolska

This note contains a correction of the proofs of the main results of the paper [A. Yekutieli, Deformation quantization in algebraic geometry, Adv. Math. 198 (2005), 383-432]. The results are correct as originally stated.

Algebraic Geometry · Mathematics 2007-08-14 Amnon Yekutieli

We improve the arithmetic duality formalism of the rational etale site. This improvement allows us to avoid some exotic approximation arguments on local fields with ind-rational base, thus simplifying the proofs of the previously…

Number Theory · Mathematics 2021-09-07 Takashi Suzuki

Two typos in the published paper are pointed out. Both are just typos and the calculations in that paper are based on the correct formulism.

Condensed Matter · Physics 2007-05-23 M. W. Wu

Sorry, There are some mistakes in proofs. I want to reconsider full paper again

Analysis of PDEs · Mathematics 2010-10-21 Mahir Hasanov

In this article we give corrections and addendum to the article ``Flops and Poisson deformations of symplectic varieties, Publ. Res. Inst. Math. Sci. {\bf 44} (2008) 259 - 314''.

Algebraic Geometry · Mathematics 2026-01-13 Yoshinori Namikawa

Observations on rational Chow groups and cycle class maps in equivariant contexts.

Algebraic Geometry · Mathematics 2015-08-11 Rahbar Virk

Applications of Domain Wall fermions to various vector-like lattice theories are reviewed with an emphasis on QCD thermodynamics. Methods for improving their chiral properties at strong coupling are discussed and results from implementing…

High Energy Physics - Lattice · Physics 2007-05-23 P. Vranas

We survey several problems related to logical aspects of quantum structures. In particular, we consider problems related to completions, decidability and axiomatizability, and embedding problems. The historical development is described, as…

Quantum Physics · Physics 2021-08-24 John Harding , Zhenghan Wang

We consider the change in the asymptotic behavior of solutions of the type of flat domain walls (i.e., kink solutions) in field-theoretic models with a real scalar field. We show that when the model is deformed by a bounded deforming…

High Energy Physics - Theory · Physics 2021-01-01 Petr A. Blinov , Tatiana V. Gani , Vakhid A. Gani

Misprints in eq. (7), which propagate up to eq. (13), are corrected. References are updated.

Condensed Matter · Physics 2008-02-03 Yong-Shi Wu

Without assuming the Northcott property we provide an upper bound on the number of "big solutions" of a special system of Diophantine inequalities over proper adelic curves. This system is interesting since it is a stronger version Roth's…

Number Theory · Mathematics 2023-08-08 Paolo Dolce

A new construction, with more visible canonical features, of a qKdV equation in a q-Virasoro context is exhibited.

Quantum Algebra · Mathematics 2007-05-23 Robert Carroll

We present a new regularization method, for d dim (Euclidean) quantum field theories in the continuum formalism, based on the domain wall configuration in (1+d) dim space-time. It is inspired by the recent progress in the chiral fermions on…

High Energy Physics - Lattice · Physics 2011-04-15 Shoichi Ichinose

We give a mathematical definition of a gapped domain wall between topological phases and a gapped boundary of a topological phase. We then provide answers to some recent questions studied by Lan, Wang and Wen in condensed matter physics…

Strongly Correlated Electrons · Physics 2015-06-25 Yasuyuki Kawahigashi

In this paper we present a more transparent upgrade of our proofs and comment on Jerabek's paper [8].

Computational Complexity · Computer Science 2026-05-14 Lev Gordeev , Edward Hermann Haeusler

Using Singular Rescaling We Prove Some Bifurcation Results. This note Presents short proofs for some Bifurcation results which had been appeared with other authors.

Dynamical Systems · Mathematics 2024-04-16 Ali Taghavi

In this comment we report that a recent paper [Eur. Phys. J. Plus 138, 195 (2023)] contains significant errors, omissions and inaccuracies.

Exactly Solvable and Integrable Systems · Physics 2023-08-02 Cihangir Özemir , Faruk Güngör

Correction to Annals of Probability 29 (2001) 1612--1624 [doi:10.1214/aop/1015345764].

Probability · Mathematics 2007-05-23 Teddy Seidenfeld , Mark J. Schervish , Joseph B. Kadane