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Mixed Twistor D-modules

  • Book
  • © 2015

Overview

  • The first book on mixed twistor D-modules
  • Forms a tentative foundation of generalized Hodge theory of holonomic D-modules
  • Represents one of the final goals in the study of mixed twistor structures
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2125)

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Table of contents (15 chapters)

  1. Gluing and Specialization of $$\mathcal{R}$$ -Triples

  2. Gluing and Specialization of $$\mathcal{R}$$ -Triples

  3. Mixed twistor $$\mathcal{D}$$ -Modules

  4. Mixed twistor $$\mathcal{D}$$ -Modules

Keywords

About this book

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.

Authors and Affiliations

  • Research Institute for Mathematical Sciences (RIMS), Kyoto University, Kyoto, Japan

    Takuro Mochizuki

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