Mixed Twistor D-modules

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Geometry
Cover of the book Mixed Twistor D-modules by Takuro Mochizuki, Springer International Publishing
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Author: Takuro Mochizuki ISBN: 9783319100883
Publisher: Springer International Publishing Publication: August 19, 2015
Imprint: Springer Language: English
Author: Takuro Mochizuki
ISBN: 9783319100883
Publisher: Springer International Publishing
Publication: August 19, 2015
Imprint: Springer
Language: English

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.

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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.

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