Related papers: Nowhere Holomorphic Mappings
A technical flaw was found in this paper, and it has been withdrawn. It is intended that a modified version will be submitted soon.
This paper has been withdrawn by the authors due to some fatal errors in the analysis.
This paper has been retracted.
There have been comments on the starting paper, hep-th/0106074, which point out unclear motivation and definitions on noncommutative momentum introduced. This paper is withdrawn by the author for more clear presentation.
In this paper we study the topology of the spaces Hol(M,P{n},k) of (basepoint preserving) holomorphic maps of a given degree k from a Riemann surface M of genus g>0 into the n-th complex projective space P{n}, n>0. Using symmetric products…
This paper has been withdrawn by the author due to the gaps in the proofs of Proposition 2.2 and Proposition 3.2
This paper has been withdrawn
This paper has been withdrawn because its ideas have been incorporated into arXiv:0905.3971 and explained much better there.
This paper has been withdrawn by the author, due a critical mistake on page 3.
This paper has been withdrawn by the author(s), due to a crucial error in eq. 6.
This paper has been withdrawn by the authors; it will be incorporated into part I of the series (in preparation).
The paper has been withdrawn by the author.
This paper has been withdrawn by the author due to a crucial error in equation.
The paper is withdrawn by the author. Parts of the contents are expanded into separate papers; hep-th/0308015 LOCALIZED TACHYON MASS AND A G-THEOREM ANALOGUE, hep-th/0308028 COMMENTS ON THE FATE OF UNSTABLE ORBIFOLDS, hep-th/0308029 CHIRAL…
We consider minimising $p$-harmonic maps from three-dimensional domains to the real projective plane, for $1<p<2$. These maps arise as least-energy configurations in variational models for nematic liquid crystals. We show that the singular…
This paper has been withdrawn by the authors due to some errors.
This paper has been withdrawn by the author due to essential mistakes in some previous versions.
This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.
Let $X$ be a compact metric space which is locally absolutely retract and let $\phi: C(X)\to C(Y, M_n)$ be a unital homomorphism, where $Y$ is a compact metric space with ${\rm dim}Y\le 2.$ It is proved that there exists a sequence of $n$…
A resummation of ladder graphs is important in cases where infrared, collinear, or light-cone singularities render the loop expansion invalid, especially at high temperature where these effects are often enhanced. It has been noted in some…