# 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 …