Bott-Chern homology, Bott-Chern differential cohomology and the Hodge conjecture

Autor:	Teh, Jyh-Haur, Yang, Chin-Jui
Rok vydání:	2019
Předmět:	Mathematics - Complex Variables Mathematics - Algebraic Geometry Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	We propose a version of the Hodge conjecture in Bott-Chern cohomology and using results from characterizing real holomorphic chains by real rectifiable currents to provide a proof for this question. We define a Bott-Chern differential cohomology and use atomic section theory of Harvey and Lawson to construct refined Bott-Chern classes for holomorphic vector bundles in this differential cohomology. These refined Bott-Chern classes transform naturally to standard Chern classes, Bott-Chern classes and Cheeger-Simons' refined Chern classes. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1910.01780 Zobrazit plný text záznamu View this record from Arxiv