Multiple derived Lagrangian intersections

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

Abstract

We give a new way to produce examples of Lagrangians in shifted symplectic derived stacks, based on multiple intersections. Specifically, we show that an m-fold homotopy fiber product of Lagrangians in a shifted symplectic derived stack is itself Lagrangian in a certain cyclic product of pairwise homotopy fiber products of the Lagrangians.

Original languageAmerican English
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Pages119-126
Number of pages8
DOIs
StatePublished - 2015
Externally publishedYes

Publication series

NameContemporary Mathematics
Volume643

Keywords

  • Derived stacks
  • Lagrangian
  • Shifted symplectic

All Science Journal Classification (ASJC) codes

  • General Mathematics

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