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Mixed Twistor D-modules

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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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Detail Information

Series Title

Series Title Lecture Notes in Mathematics

Call Number

-

Publisher

Cham, Switzerland : ., 2015

Collation

XX, 487

Language

English

ISBN/ISSN

978-3-319-10087-6

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

1

Subject(s)

-

Specific Detail Info

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Statement of Responsibility

Takuro Mochizuki

Other Information

Cataloger

Rani

Source

-

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