Tamarkin’s paper, chapter 8
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Author: Vivek Shende
Tamarkin’s paper, chapter 7
Tamarkin’s paper, chapter 6
Tamarkin’s paper, chapter 5
Tamarkin’s paper, chapter 4
Tamarkin’s paper, chapter 3
Tamarkin’s paper, chapter 2
What’s the point of always adjoining Maurer-Cartan elements?
Tamarkin’s paper: Chapter 1
We are having a small discussion group around Tamarkin’s paper “microlocal category”. There will be a blog post for each chapter, in which we collect together our understandings and misunderstandings. At the moment they are mostly empty. This is the post for chapter 1.
What’s the transverse knot filtration, in sheaf theory?
Question: What’s the sheaf theoretic incarnation of this filtration? (Warmup question: what structure does a filtration on a DGA induce on its representation category?)
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 …