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Related papers: A calculus for shadows of smooth 4-manifolds

200 papers

The paper is withdrawn due to some errors.

Algebraic Topology · Mathematics 2012-02-17 Boris Botvinnik , Christine Escher

This paper has been withdrawn by the author due to a critical error in the proof of Theorem 5.4 on which the proof of the main theorem on the non-simplenss was based.

Dynamical Systems · Mathematics 2007-05-23 Yong-Geun Oh

The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.

Mathematical Physics · Physics 2007-07-11 John Fredsted

The paper has been withdrawn due to a crucial error in section 3.

Rings and Algebras · Mathematics 2016-09-08 Mariana Haim , Blas Torrecillas

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

Soft Condensed Matter · Physics 2012-02-01 Qing Peng , Marcel Utz

In terms of Turaev's shadows, we provide a sufficient condition for a compact, smooth, acyclic 4-manifold with boundary the 3-sphere to be diffeomorphic to the standard 4-ball. As a consequence, we prove that if a compact, smooth, acyclic…

Geometric Topology · Mathematics 2021-01-06 Yuya Koda , Hironobu Naoe

This paper has been withdrawn by author due to an error in the proof.

Geometric Topology · Mathematics 2007-05-23 Qing Zhou

This paper has been withdrawn by the author due to an error in the derivation.

Statistical Mechanics · Physics 2011-04-22 David Andrieux

This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.

Algebraic Geometry · Mathematics 2007-05-23 Yakov Varshavsky

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

Number Theory · Mathematics 2007-05-23 Tomohiro Yamada

This paper has been withdrawn by the author due to a crucial sign error in equation 1.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

This paper has been withdrawn by the author due to a mistake.

Cosmology and Nongalactic Astrophysics · Physics 2012-09-20 David F. Mota

This paper was withdrawn (temporarily?) by the author since an error needs to be corrected.

Geometric Topology · Mathematics 2007-05-23 Jean-Marc Schlenker

This paper has been withdrawn by the author, due to a crucial error in page 5.

General Mathematics · Mathematics 2009-02-06 Julio Alcantara-Bode

This paper has been withdraw by the auhor due to a mistake in classification of the algebra

Analysis of PDEs · Mathematics 2008-04-16 Maxim Bobrov

This paper has been withdrawn by the author.The formula which was proposed gives only a second order deformation.

High Energy Physics - Theory · Physics 2013-05-29 A. V. Bratchikov

This paper has been withdrawn due to a photometric calibration error.

Astrophysics · Physics 2011-11-10 Jae-Woo Lee , Bruce W. Carney , Haw Cheng

This paper has been withdrawn by the author due to an error in the proof of Proposition 4.8.

Geometric Topology · Mathematics 2008-10-14 Christian Wegner

This paper is withdrawn. We found a mistake in Lemma 4.1

Functional Analysis · Mathematics 2007-10-01 Marius Junge , Quanhua Xu

The paper has been withdrawn by the author due to unhappy mistake in the initial scope of the work.

Quantum Physics · Physics 2010-04-05 Alexey E. Rastegin