English

A microlocal criterion for commuting nearby cycles

Representation Theory 2021-06-01 v4 Algebraic Geometry

Abstract

We present a microlocal criterion for the equivalence of iterated nearby cycles along different flags of subspaces in a higher-dimensional base. The result is motivated by its application to Hitchin systems in the context of Betti geometric Langlands. I thank Claude Sabbah for bringing papers of Maisonobe and Kocherperger to my attention. Among many interesting results, they include assertions implying the main assertions of this paper. I will leave this paper on the arXiv as a possibly useful additional reference.

Keywords

Cite

@article{arxiv.2003.11477,
  title  = {A microlocal criterion for commuting nearby cycles},
  author = {David Nadler},
  journal= {arXiv preprint arXiv:2003.11477},
  year   = {2021}
}

Comments

19 pages; expository update

R2 v1 2026-06-23T14:27:01.742Z