Mixed Twistor D-modules
Author | : Takuro Mochizuki |
Publisher | : Springer |
Total Pages | : 497 |
Release | : 2015-08-19 |
ISBN-10 | : 9783319100883 |
ISBN-13 | : 3319100882 |
Rating | : 4/5 (83 Downloads) |
Book excerpt: 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.