Mixed Twistor D-Modules

By Takuro Mochizuki

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.

• Format: Paperback
• Language: English
• ISBN: 3319100874
• ISBN13: 9783319100876
• Release Date: August 2015
• Publisher: Springer
• Length: 487 Pages
• Weight: 1.56 lbs.
• Dimensions: 1.0" x 6.1" x 9.2"