Real mixed Hodge structures

Mathematics – Algebraic Geometry

Scientific paper

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26 pages, to appear in Journal of Noncommutative Geometry

Scientific paper

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.

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