A microlocal criterion for commuting nearby cycles
arXiv:2003.11477
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.
19 pages; expository update