JournalsjncgVol. 6, No. 2pp. 321–342

Real mixed Hodge structures

  • Mikhail Kapranov

    Yale University, USA
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Abstract

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