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Mixed Twistor D-modules

Mixed Twistor D-modules by Takuro Mochizuki
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We introduce mixed twistor D-modules and establish their fundamental functorial properties. We also prove that they can be described as the gluing of admissible variations of mixed twistor structures. In a sense, mixed twistor D-modules can be regarded as a twistor version of M. Saito's mixed Hodge modules. Alternatively, they can be viewed as a mixed version of the pure twistor D-modules studied by C. Sabbah and the author. The theory of mixed twistor D-modules is one of the ultimate goals in the study suggested by Simpson's Meta Theorem and it would form a foundation for the Hodge theory of holonomic D-modules which are not necessarily regular singular.
Springer International Publishing; August 2015
497 pages; ISBN 9783319100883
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Title: Mixed Twistor D-modules
Author: Takuro Mochizuki
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