Welcome to the secret microlocal seminar

This is a research discussion board about constructible sheaves and microlocal geometry, especially in terms of its role as a model for the Fukaya category. Here you will find posts by many people, including: Xin Jin, Andy Neitzke, Lenhard Ng, Dan Rutherford, Vivek Shende, Steven Sivek, Alex Takeda, David Treumann, Harold Williams, and Eric Zaslow. Some of the …

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A metric on the space of autoequivalences

Let $M$ be a manifold; $shv(M)$ the (derived) category of sheaves on $M$, and $\mathcal{G}(M)$ the group of autoequivalences of $shv(M)$. I want to consider the following sort of right-invariant semi-metric (i.e. some things have distance zero) on $\mathcal{G}(M)$: $$d(\gamma, \eta) = sup_{F} d_{Haus}(ss(\gamma F), ss( \eta F))$$ Here, we take $ss(F)$ in the cosphere bundle …

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