Abstract
AbstractWe shall introduce the concept of mixed twistor \(\mathcal{D}\)-module (Definition 7.2.1). The definition is not completely parallel to that for mixed Hodge modules in [73]. It is partially because we are concerned with only graded polarizable objects. Since we shall later prove that any mixed twistor \(\mathcal{D}\)-module is expressed as a gluing of some admissible variations of mixed twistor structures (Sects. 10.3 and 11.1), mixed twistor \(\mathcal{D}\)-modules can be regarded as a twistor version of mixed Hodge modules. We shall also construct a natural functor from the category of mixed Hodge modules to the category of mixed twistor \(\mathcal{D}\)-modules in Chap. 13 KeywordsExact SequenceHolomorphic FunctionComplex ManifoldDirect SummandFull SubcategoryThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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