Related papers: Holomorphic fillability and cohomology
In his famous paper [2], Demazure introduced certain indecomposable modules and used them to give a short proof of Bott's theorem. In this paper we consider a generalization of these modules and give their cohomology.
On a compact K\"{a}hler manifold $X$ with a holomorphic 2-form $\a$, there is an almost complex structure associated with $\a$. We show how this implies vanishing theorems for the Gromov-Witten invariants of $X$. This extends the approach,…
This paper has been withdrawn by the author. A much more revised version is available as arXiv:0909.4238.
This paper has been withdrawn by the authors, due to the requirement of the Journal where a modified version will be published.
This paper has been withdrawn, as all conjectures (and one claim) have been proven incorrect. Some of what remains may eventually reappear in a different context.
This paper has been withdrawn by the author, due to possible counter-examples.
This paper has been withdrawn by the author(s). The material contained in the paper will be published in a subtantially reorganized form, part of it is now included in math.QA/0510174
This paper has been withdrawn by the author due to an error in the main proof (thanks to Carlos D'Andrea)
This paper is being withdrawn because an error was discovered in lemma 4.3. Although the rest of the paper appears to be correct, this error invalidates the proof of theorem 3.1 and theorem 3.3.
The comparison map from bounded cohomology to singular cohomology plays an important role in the study of bounded cohomology theory and its applications. The vanishing and covering theorems of Gromov and Ivanov show interesting and useful…
We completely revised the paper after the referee's comments. In the new version, we replaced two erroneous examples, studied a link with earlier work of Koh and Stilmann, and strengthened the main theorem.
The paper is devoted to a generalized and simplified version of author's approach to covering theorems in bounded cohomology theory. The amenability assumptions are replaced by weaker and more natural acyclicity assumprions. In the case of…
This paper has been withdrawn by the author due to a crucial error in last part of proof.
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
This paper has been withdrawn by the author because overcame by arXiv:0910.4694
This paper has been withdrawn by the author due to a error in attachment of source file.
This paper has been withdrawn by the authors, and instead we have replaced hep-ph/9807214 by this new version.
In the previous version of the paper it was announced that ``sphere homeomorphic flexible polyhedra (with self intersections) do really exist in n-dimensional Euclidean, Lobachevskij and spherical spaces for each $n\geq 3$.'' Now the paper…
This submission has been withdrawn at the request of the author.
This paper has been withdrawn by the author due to an error in the proof of Theorem 6.