WebJun 15, 2024 · We infer that the Bott-Chern numbers and the Dolbeault numbers of a Vaisman manifold determine each other. On the other hand, we show that the cohomological invariants introduced by Angella-Tomassini are unbounded for Vaisman manifolds. Finally, we give a cohomological characterization of the Dolbeault and Bott … WebThe guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. Accord ingly, we move primarily in the realm of smooth manifolds and use the de Rham theory as a prototype of all of cohomology. For applications to homotopy theory we also discuss by way of analogy ...
Analogue of Grauert
WebJan 13, 2008 · In this article, we construct Chern classes in rational Deligne cohomology for coherent sheaves on a smooth complex compact manifold. We prove that these classes verify the functoriality... WebJul 7, 2024 · Abstract For every positive integer r, we introduce two new cohomologies, that we call Er{E_{r}}-Bott–Chern and Er{E_{r}}-Aeppli, on compact complex manifolds. When r=1{r\\kern-1.0pt=\\kern-1.0pt1}, they coincide with the usual Bott–Chern and Aeppli cohomologies, but they are coarser, respectively finer, than these when r≥2{r\\geq 2}. … bug out termite
The Bott-Chern and Aeppli Cohomologies of Complex …
WebDec 28, 2011 · The Bott–Chern and Aeppli Cohomologies of a Complex Manifold The Bott–Chern Cohomology Let Xbe a compact complex manifold of complex dimension nand denote its complex structure by J. WebExpanding a result of Serre on finite CW-complexes, we show that the Brauer group coincides with the cohomological Brauer group for arbitrary compact spaces. Using results from the homotopy theory of bug out tools n accessories