Real mixed Hodge structures
Algebraic Geometry
2010-07-13 v2
Abstract
We identify the category of real mixed Hodge structures with the category of vector bundles with connections (not necessarily flat) on C, equivariant with respect to C^*. Here C is the complex plane considered as a 2-dimensional real manifold, and C^* is the multiplicative group of complex numbers considered as a real group.
Keywords
Cite
@article{arxiv.0802.0215,
title = {Real mixed Hodge structures},
author = {Mikhail Kapranov},
journal= {arXiv preprint arXiv:0802.0215},
year = {2010}
}
Comments
26 pages, to appear in Journal of Noncommutative Geometry