Mixed Twistor D-modules (Lecture Notes in Mathematics)

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9783319100876: Mixed Twistor D-modules (Lecture Notes in Mathematics)
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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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Takuro Mochizuki
Verlag: Springer-Verlag Gmbh Aug 2015 (2015)
ISBN 10: 3319100874 ISBN 13: 9783319100876
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Buchbeschreibung Springer-Verlag Gmbh Aug 2015, 2015. Taschenbuch. Buchzustand: Neu. 235x155x29 mm. Neuware - 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. 487 pp. Englisch. Artikel-Nr. 9783319100876

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