Here is some information about perverse sheaves on Riemann surfaces. At the end is a point I’m confused about. A perverse sheaf is a constructible chain complex of sheaves \(P\) that obeys the following conditions: 1. except for finitely many points \(x\), the stalk of \(P\) at \(x\) is concentrated in degree zero, 2. at …
Let \( X \) be a manifold. Let \( L \subset T^* X \) be an exact Lagrangian (equipped with a pinning etc.) such that \( L \to X \) is proper map generically of degree \( n \). Since in this case \( L \) is bounded away from infinity, the Nadler-Zaslow construction gives …
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 …
