Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: DGA-Models of variations of mixed Hodge structures   We define objects over Morgan's mixed Hodge diagrams which will be algebraic
models of unipotent variations of mixed hodge structures over K\"ahler
manifolds. As an analogue of Hain-Zucker's equivalence between unipotent
variations of mixed Hodge structures and mixed Hodge representations of the
fundamental group with Hain's mixed hodge structure, we give an equivalence
between the category of our VMHS-like objects and the category of mixed Hodge
representations of the dual Lie algebra of Sullivan's minimal model with
Morgan's mixed Hodge structure. By this result, we can put various (tannakian
theoretical) non-abelian mixed Hodge structures on the category of our new
objects like the taking fibers of variations of mixed Hodge structures at
points. By certain modifications of the result, we also give models of
non-unipotent variations of mixed Hodge structures.

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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom