Perverse sheaves of categories and some applications

Research output: Contribution to journalArticle

Abstract

We study perverse sheaves of categories their connections to classical algebraic geometry. We show how perverse sheaves of categories encode naturally derived categories of coherent sheaves on P1 bundles, semiorthogonal decompositions, and relate them to a recent proof of Segal that all autoequivalences of triangulated categories are spherical twists. Furthermore, we show that perverse sheaves of categories can be used to represent certain degenerate Calabi–Yau varieties.

Original languageEnglish (US)
Pages (from-to)1155-1205
Number of pages51
JournalAdvances in Mathematics
Volume352
DOIs
StatePublished - Aug 20 2019

Keywords

  • Degenerations of K3 surfaces
  • Derived categories
  • Homological mirror symmetry
  • Perverse sheaves

ASJC Scopus subject areas

  • Mathematics(all)

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