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arXiv · 2003.11477

A microlocal criterion for commuting nearby cycles

David Nadler
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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.

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David Nadler. 2020-03-25. A microlocal criterion for commuting nearby cycles. https://arxiv.org/abs/2003.11477

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