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Stokes-Perverse Sheaves on Riemann Surfaces

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In this chapter, we introduce the global notion of Stokes-perverse sheaves on a Riemann surface. The Riemann–Hilbert correspondence of the next chapter will be an equivalence between holonomic D -modules on the Riemann surface and Stokes-perverse sheaves on it. If k is a subfield of C, this allows one to speak of a k -structure on a holonomic D -module when the corresponding Stokes-perverse is defined over k.

Original languageEnglish
Title of host publicationIntroduction to Stokes Structures
PublisherSpringer Verlag
Pages51-64
Number of pages14
ISBN (Print)9783642316944
DOIs
Publication statusPublished - 1 Jan 2013

Publication series

NameLecture Notes in Mathematics
Volume2060
ISSN (Print)0075-8434
ISSN (Electronic)1617-9692

Keywords

  • Distinguished Triangle
  • Exact Sequence
  • Full Subcategory
  • Local System
  • Riemann Surface

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