Real mixed Hodge structures

  • Mikhail Kapranov

    Yale University, USA


We identify the category of real mixed Hodge structures with the category of vector bundles with connections (not necessarily flat) on C\mathbb C, equivariant with respect to C\mathbb C^*. Here C\mathbb C is the complex plane considered as a 2-dimensional real manifold, and C\mathbb C^* is the multiplicative group of complex numbers considered as a real group.

Cite this article

Mikhail Kapranov, Real mixed Hodge structures. J. Noncommut. Geom. 6 (2012), no. 2, pp. 321–342

DOI 10.4171/JNCG/93