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

%auto-ignore This paper has been withdrawn by the author(s) because somebody do not agree with my idea.

Due to a computational mistake this paper has been withdrawn.

This paper has been withdrawn by the author due to essential mistakes in some previous versions.

This paper has been withdrawn by the author due to some problems.

This paper has been withdrawn.

This paper has been withdrawn by the author(s), due the final version in math.QA/0604564

This paper has been withdrawn by the author due to the unsure solutions to the Dyson-Schwinger equation.

The above named paper has been withdrawn. A colleague has observed a gap in the proof of isotopy invariance, which can be repaired by reducing the coefficients (which lie in (1/6)Z) of the antisymmetric kanji with chords incident with more…

The main result of this paper, Simon's conjecture for fibered knots, was previously proven by Silver and Whitten math.GT/0405462 with essentially the same proof. This paper is therefore being withdrawn. The author would like to apologize…

It is known since 1954 that every 3-manifold bounds a 4-manifold. Thus, for instance, every 3-manifold has a surgery diagram. There are several proofs of this fact, including constructive proofs, but there has been little attention to the…

This paper has been withdrawn by the author, due an error in computing the invariance of the so(4,1) and so(3,2) "inner product."

The paper has been withdrawn by change of content and some errors in the examples.

The paper has been withdrawn by the author due to a the manuscript error.

This paper has been withdrawn due to fundamental errors.

The shadow-complexity is an invariant of closed $4$-manifolds defined by using $2$-dimensional polyhedra called Turaev's shadows, which, roughly speaking, measures how complicated a $2$-skeleton of the $4$-manifold is. In this paper, we…

Our purpose is to classify acyclic 4-manifolds having shadow complexity zero. In this paper, we focus on simple polyhedra and discuss this problem combinatorially. We consider a shadowed polyhedron $X$ and a simple polyhedron $X_0$ that is…

This paper has been withdrawn since it contains some discrepancy with othe authers's recent result. We will not post this until this discrepancy is resolved.

This paper has been withdrawn by the author due to a crucial error related with the consideration of regular points

This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.

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