English

Multiple Derived Lagrangian Intersections

Algebraic Geometry 2022-10-12 v2 Algebraic Topology K-Theory and Homology

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 fiber product of Lagrangians in a shifted symplectic derived stack its itself Lagrangian in a certain cyclic product of pairwise homotopy fiber products of the Lagrangians.

Keywords

Cite

@article{arxiv.1309.0596,
  title  = {Multiple Derived Lagrangian Intersections},
  author = {Oren Ben-Bassat},
  journal= {arXiv preprint arXiv:1309.0596},
  year   = {2022}
}
R2 v1 2026-06-22T01:19:33.318Z