Wild Harmonic Bundles and Wild Pure Twistor D-modules

Takuro Mochizuki

Wild Harmonic Bundles and Wild Pure Twistor D-modules

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arxiv 0803.1344 v4 pith:S4RKUXPJ submitted 2008-03-10 math.DG math.AG

Takuro Mochizuki This is my paper · ORCID

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keywords wildbundlesharmonicmodulespurerelationsemisimpletwistor

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abstract

We study (i) asymptotic behaviour of wild harmonic bundles, (ii) the relation between semisimple meromorphic flat connections and wild harmonic bundles, (iii) the relation between wild harmonic bundles and polarized wild pure twistor $D$-modules. As an application, we show the hard Lefschetz theorem for algebraic semisimple holonomic $D$-modules, conjectured by M. Kashiwara.

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