Holomorphic lagrangian branes correspond to perverse sheaves

Xin Jin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Let X be a compact complex manifold, Dbc(X) be the bounded derived category of constructible sheaves on X, and Fuk(T*X) be the Fukaya category of T*X . A Lagrangian brane in Fuk(T*X) is holomorphic if the underlying Lagrangian submanifold is complex analytic in T*XC, the holomorphic cotangent bundle of X . We prove that under the quasiequivalence between Dbc(X) and DFuk(T *X) established by Nadler and Zaslow, holomorphic Lagrangian branes with appropriate grading correspond to perverse sheaves.

Original languageEnglish (US)
Pages (from-to)1685-1735
Number of pages51
JournalGeometry and Topology
Volume19
Issue number3
DOIs
StatePublished - May 21 2015

ASJC Scopus subject areas

  • Geometry and Topology

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